Both types of cable are being used as transmission lines. The two mediums have different electrical properties (attenuation, propagation delay, workable frequency range, etc) that make them more or less suited for different applications.
Whenever you have a tranmission line, it is necessary (or at least a very good idea) to terminate it with a value that is equal to the Characteristic Impedance of the transmission line. This prevents intereference from reflections caused when the transmitted signal impinges on impedance at the end of the line. That is the purpose of the balun; to provide impedance matching between the two tranmission lines - much like 75 / 300 Ohm transformers.