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Finding the Third Proportional to 177,831 and 266,751

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Solution

The third proportional to 177,831 and 266,751 is: 400,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,831 : 266,751 = 266,751 : x
  2. Step 2: Convert to fraction form
    177,831/266,751 = 266,751/x
  3. Step 3: Cross multiply
    177,831x = 266,751 × 266,751
  4. Step 4: Simplify right side
    177,831x = 71,156,096,001
  5. Step 5: Solve for x
    x = 71,156,096,001/177,831
  6. Step 6: Final answer
    x = 400,133.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.