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Finding the Third Proportional to 135,624.38 and 274,939.31

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Solution

The third proportional to 135,624.38 and 274,939.31 is: 557,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,624.38 : 274,939.31 = 274,939.31 : x
  2. Step 2: Convert to fraction form
    135,624.38/274,939.31 = 274,939.31/x
  3. Step 3: Cross multiply
    135,624.38x = 274,939.31 × 274,939.31
  4. Step 4: Simplify right side
    135,624.38x = 75,591,625,557.97
  5. Step 5: Solve for x
    x = 75,591,625,557.97/135,624.38
  6. Step 6: Final answer
    x = 557,360.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.