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Finding the Third Proportional to 187,499.25 and 290,402.25

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Solution

The third proportional to 187,499.25 and 290,402.25 is: 449,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,499.25 : 290,402.25 = 290,402.25 : x
  2. Step 2: Convert to fraction form
    187,499.25/290,402.25 = 290,402.25/x
  3. Step 3: Cross multiply
    187,499.25x = 290,402.25 × 290,402.25
  4. Step 4: Simplify right side
    187,499.25x = 84,333,466,805.06
  5. Step 5: Solve for x
    x = 84,333,466,805.06/187,499.25
  6. Step 6: Final answer
    x = 449,780.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.