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Finding the Third Proportional to 71,545.31 and 155,382.38

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Solution

The third proportional to 71,545.31 and 155,382.38 is: 337,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,545.31 : 155,382.38 = 155,382.38 : x
  2. Step 2: Convert to fraction form
    71,545.31/155,382.38 = 155,382.38/x
  3. Step 3: Cross multiply
    71,545.31x = 155,382.38 × 155,382.38
  4. Step 4: Simplify right side
    71,545.31x = 24,143,682,460.64
  5. Step 5: Solve for x
    x = 24,143,682,460.64/71,545.31
  6. Step 6: Final answer
    x = 337,460.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.