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Finding the Third Proportional to 137,917.13 and 297,606.09

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Solution

The third proportional to 137,917.13 and 297,606.09 is: 642,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917.13 : 297,606.09 = 297,606.09 : x
  2. Step 2: Convert to fraction form
    137,917.13/297,606.09 = 297,606.09/x
  3. Step 3: Cross multiply
    137,917.13x = 297,606.09 × 297,606.09
  4. Step 4: Simplify right side
    137,917.13x = 88,569,387,037.13
  5. Step 5: Solve for x
    x = 88,569,387,037.13/137,917.13
  6. Step 6: Final answer
    x = 642,192.82

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