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Finding the Third Proportional to 181,538 and 279,962

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Solution

The third proportional to 181,538 and 279,962 is: 431,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,538 : 279,962 = 279,962 : x
  2. Step 2: Convert to fraction form
    181,538/279,962 = 279,962/x
  3. Step 3: Cross multiply
    181,538x = 279,962 × 279,962
  4. Step 4: Simplify right side
    181,538x = 78,378,721,444
  5. Step 5: Solve for x
    x = 78,378,721,444/181,538
  6. Step 6: Final answer
    x = 431,748.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.