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Finding the Third Proportional to 126,488 and 268,552

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Solution

The third proportional to 126,488 and 268,552 is: 570,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,488 : 268,552 = 268,552 : x
  2. Step 2: Convert to fraction form
    126,488/268,552 = 268,552/x
  3. Step 3: Cross multiply
    126,488x = 268,552 × 268,552
  4. Step 4: Simplify right side
    126,488x = 72,120,176,704
  5. Step 5: Solve for x
    x = 72,120,176,704/126,488
  6. Step 6: Final answer
    x = 570,174.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.