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Finding the Third Proportional to 137,644.31 and 217,545.75

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Solution

The third proportional to 137,644.31 and 217,545.75 is: 343,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,644.31 : 217,545.75 = 217,545.75 : x
  2. Step 2: Convert to fraction form
    137,644.31/217,545.75 = 217,545.75/x
  3. Step 3: Cross multiply
    137,644.31x = 217,545.75 × 217,545.75
  4. Step 4: Simplify right side
    137,644.31x = 47,326,153,343.06
  5. Step 5: Solve for x
    x = 47,326,153,343.06/137,644.31
  6. Step 6: Final answer
    x = 343,829.34

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.