Maybe I've done something wrong - but the math says something different:
The GTR 200 specifications are thus, 60mW minimum into a 150ohm load. Using these numbers to calculate amps and volts produced by the radios output stage gives you 20mA @ 3V. ( I = (P/R)^1/2 and V = (P*R)^1/2 ).
The audio transformer I spec'd has a 200 Ohm input (Zin) and 8 Ohm output (Zout).
To calculate the voltage change through this particular transformer, use Vout = Vsource*(Zin / ( Zin + Zout)) => Vout = 3*(200/208) => 2.88v.
...and the available power to the 8 ohm speaker => P = (V^2)/R => 8.2944/8 => 1.0368W
The speaker that I spec'd is capable of 1W.
Since the calculated output of the transformer is just a "hair" more than the speaker, there shouldn't need to be any amplification.
Where did I go wrong?