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Finding the Third Proportional to 126,704 and 275,314

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Solution

The third proportional to 126,704 and 275,314 is: 598,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,704 : 275,314 = 275,314 : x
  2. Step 2: Convert to fraction form
    126,704/275,314 = 275,314/x
  3. Step 3: Cross multiply
    126,704x = 275,314 × 275,314
  4. Step 4: Simplify right side
    126,704x = 75,797,798,596
  5. Step 5: Solve for x
    x = 75,797,798,596/126,704
  6. Step 6: Final answer
    x = 598,227.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.