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Finding the Third Proportional to 126,366 and 271,774

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Solution

The third proportional to 126,366 and 271,774 is: 584,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,366 : 271,774 = 271,774 : x
  2. Step 2: Convert to fraction form
    126,366/271,774 = 271,774/x
  3. Step 3: Cross multiply
    126,366x = 271,774 × 271,774
  4. Step 4: Simplify right side
    126,366x = 73,861,107,076
  5. Step 5: Solve for x
    x = 73,861,107,076/126,366
  6. Step 6: Final answer
    x = 584,501.43

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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.