The strong radio source 3C343.1 consists of a galaxy and a QSO separated by no more than about 0.25 arcsec. The chance of this being an accidental superposition is conservatively 10^-8. The z=0.344 galaxy is connected to the z=0.750 QSO by a radio bridge. The numerical relation between the two redshifts is that predicted from previous associations. This pair is an extreme example of many similar physical associations of QSOs and galaxies with very different redshifts.