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Finding the Third Proportional to 126,320 and 271,744

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Solution

The third proportional to 126,320 and 271,744 is: 584,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,320 : 271,744 = 271,744 : x
  2. Step 2: Convert to fraction form
    126,320/271,744 = 271,744/x
  3. Step 3: Cross multiply
    126,320x = 271,744 × 271,744
  4. Step 4: Simplify right side
    126,320x = 73,844,801,536
  5. Step 5: Solve for x
    x = 73,844,801,536/126,320
  6. Step 6: Final answer
    x = 584,585.19

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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.