ihoash,
Let's try starting from an accepted premise. You already accept that a 4 pole (1800rpm) 60hz 230v motor rated 175hp will produce 175hp*5252/1800rpm= 510#-ft of torque at 1800rpm, right? If not, there is no sense in reading further.
Assuming you accept that, ask yourself 'what is the v/hz ratio on this motor at 1800rpm?' Can you accept it is 230v/60hz= 3.83v/hz? If not, there is no sense in reading further.
I think you already accept that this same motor will produce 510#-ft or torque from 0 to 1800rpm. Why?
Because the v/hz ratio is the same at any of those speeds! Agreed? If not, you need to stop here and go google ac induction motor basics some more.
This means that same v/hz ratio is CONSTANT at any speed from 0 thru 1800rpm. Ie., 180rpm is 6hz so voltage applied to motor is 3.83*6= 23v, and as such, motor will still produce 510#-ft of torque. Etc any other speed from 0-1800rpm (ignoring too slow speeds under about 6 hz)
Continuing, since HP=NT/5252, as hz (speed) goes up -- and T remains CONSTANT --
HP INCREASES
OK, accepting that, you can see that if you only had 230v available, you cannot continue on that 3.83v/hz curve above 1800rpm, right? So NOW, YOU ARE OUT OF VOLTS! What happens if you still increase Hz ANYWAY? The v/hz ratio goes down, SO THE TORQUE PRODUCED GOES DOWN. SIMPLE. So as hz goes up, accepting that torque goes down while speed goes up, what happens to the HP output available? IT REMAINS CONSTANT. So upto some speed above 60hz, the HP is now constant since torque is going down. So by the time you hit 120hz, your v/hz ratio is now only 1.91, so you produce 1/2 the torque but are going 2x the speed - aka, 175hp still. If you keep going, the motor will begin to stop being a good motor and will produce less and less torque due to efficiency roll off and another thingy called breakdown torque rating - but you needn't worry about that right now.
If you are still with me, lets put this same motor now on a 460v supply. AHA! Now we do not have to reduce the v/hz ratio (meaning constant hp) but can continue increasing voltage along same perfect 3.83v/hz ratio until we again run out of voltages - where? 460v. What freq? 120hz. So - stay with me here - since the torque remained constant due to the constant v/hz curve, is this not identical to the 230v case above from 0-1800rpm? But now we ran 0-3600rpm on same v/hz curve, so torque is STILL 510#-ft, yet speed is now 3600rpm. What is the HP at 3600rpm? You do the math. See how we got you 350HP FOR FREE?
Could your customer have simply bought a 350hp, 460v, 60hz 2 pole motor again - capable of 4500rpm max speed? Sure. Could they have just reused the old motor? NO, because it was not rated to the required 4500rpm max speed - if it WAS, then they could have just replaced the gearbox and ran the vfd up.
Head spinning?