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Finding the Third Proportional to 182,676 and 268,110

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Solution

The third proportional to 182,676 and 268,110 is: 393,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,676 : 268,110 = 268,110 : x
  2. Step 2: Convert to fraction form
    182,676/268,110 = 268,110/x
  3. Step 3: Cross multiply
    182,676x = 268,110 × 268,110
  4. Step 4: Simplify right side
    182,676x = 71,882,972,100
  5. Step 5: Solve for x
    x = 71,882,972,100/182,676
  6. Step 6: Final answer
    x = 393,499.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.