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Finding the Third Proportional to 181,350 and 266,493

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Solution

The third proportional to 181,350 and 266,493 is: 391,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,350 : 266,493 = 266,493 : x
  2. Step 2: Convert to fraction form
    181,350/266,493 = 266,493/x
  3. Step 3: Cross multiply
    181,350x = 266,493 × 266,493
  4. Step 4: Simplify right side
    181,350x = 71,018,519,049
  5. Step 5: Solve for x
    x = 71,018,519,049/181,350
  6. Step 6: Final answer
    x = 391,610.25

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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.