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Finding the Third Proportional to 187,186.50 and 402,428.25

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Solution

The third proportional to 187,186.50 and 402,428.25 is: 865,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,186.50 : 402,428.25 = 402,428.25 : x
  2. Step 2: Convert to fraction form
    187,186.50/402,428.25 = 402,428.25/x
  3. Step 3: Cross multiply
    187,186.50x = 402,428.25 × 402,428.25
  4. Step 4: Simplify right side
    187,186.50x = 161,948,496,398.06
  5. Step 5: Solve for x
    x = 161,948,496,398.06/187,186.50
  6. Step 6: Final answer
    x = 865,171.88

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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.