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Finding the Third Proportional to 137,890.13 and 297,937.13

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Solution

The third proportional to 137,890.13 and 297,937.13 is: 643,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,890.13 : 297,937.13 = 297,937.13 : x
  2. Step 2: Convert to fraction form
    137,890.13/297,937.13 = 297,937.13/x
  3. Step 3: Cross multiply
    137,890.13x = 297,937.13 × 297,937.13
  4. Step 4: Simplify right side
    137,890.13x = 88,766,530,453.27
  5. Step 5: Solve for x
    x = 88,766,530,453.27/137,890.13
  6. Step 6: Final answer
    x = 643,748.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.