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Finding the Third Proportional to 137,708.50 and 291,949

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Solution

The third proportional to 137,708.50 and 291,949 is: 618,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,708.50 : 291,949 = 291,949 : x
  2. Step 2: Convert to fraction form
    137,708.50/291,949 = 291,949/x
  3. Step 3: Cross multiply
    137,708.50x = 291,949 × 291,949
  4. Step 4: Simplify right side
    137,708.50x = 85,234,218,601
  5. Step 5: Solve for x
    x = 85,234,218,601/137,708.50
  6. Step 6: Final answer
    x = 618,946.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.