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Finding the Third Proportional to 126,494 and 266,920

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Solution

The third proportional to 126,494 and 266,920 is: 563,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,494 : 266,920 = 266,920 : x
  2. Step 2: Convert to fraction form
    126,494/266,920 = 266,920/x
  3. Step 3: Cross multiply
    126,494x = 266,920 × 266,920
  4. Step 4: Simplify right side
    126,494x = 71,246,286,400
  5. Step 5: Solve for x
    x = 71,246,286,400/126,494
  6. Step 6: Final answer
    x = 563,238.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.