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Finding the Third Proportional to 126,847 and 273,314

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Solution

The third proportional to 126,847 and 273,314 is: 588,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,847 : 273,314 = 273,314 : x
  2. Step 2: Convert to fraction form
    126,847/273,314 = 273,314/x
  3. Step 3: Cross multiply
    126,847x = 273,314 × 273,314
  4. Step 4: Simplify right side
    126,847x = 74,700,542,596
  5. Step 5: Solve for x
    x = 74,700,542,596/126,847
  6. Step 6: Final answer
    x = 588,902.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.