The third ionization enthalpy is minimum for:

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Strategy:
 Third ionization enthalpy () corresponds to the energy needed to remove an electron from a bipositive cation (). Transitions to half-filled () or fully-filled () states require less energy or are favored.

Step 1: Analyze configurations of  ions
- Vanadium ():  is .  removes an electron from .
- Chromium ():  is . Removing an electron gives stable half-filled  ( in octahedral).
- Manganese ():  is . Breaking a half-filled shell is very hard ( is very high).
- Iron ():  is . Removing o

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