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Finding the Third Proportional to 141,892.25 and 305,310.25

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Solution

The third proportional to 141,892.25 and 305,310.25 is: 656,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,892.25 : 305,310.25 = 305,310.25 : x
  2. Step 2: Convert to fraction form
    141,892.25/305,310.25 = 305,310.25/x
  3. Step 3: Cross multiply
    141,892.25x = 305,310.25 × 305,310.25
  4. Step 4: Simplify right side
    141,892.25x = 93,214,348,755.06
  5. Step 5: Solve for x
    x = 93,214,348,755.06/141,892.25
  6. Step 6: Final answer
    x = 656,937.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.