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Finding the Third Proportional to 84,258 and 184,342.50

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Solution

The third proportional to 84,258 and 184,342.50 is: 403,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,258 : 184,342.50 = 184,342.50 : x
  2. Step 2: Convert to fraction form
    84,258/184,342.50 = 184,342.50/x
  3. Step 3: Cross multiply
    84,258x = 184,342.50 × 184,342.50
  4. Step 4: Simplify right side
    84,258x = 33,982,157,306.25
  5. Step 5: Solve for x
    x = 33,982,157,306.25/84,258
  6. Step 6: Final answer
    x = 403,310.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.