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Finding the Third Proportional to 138,408 and 181,738

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Solution

The third proportional to 138,408 and 181,738 is: 238,632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,408 : 181,738 = 181,738 : x
  2. Step 2: Convert to fraction form
    138,408/181,738 = 181,738/x
  3. Step 3: Cross multiply
    138,408x = 181,738 × 181,738
  4. Step 4: Simplify right side
    138,408x = 33,028,700,644
  5. Step 5: Solve for x
    x = 33,028,700,644/138,408
  6. Step 6: Final answer
    x = 238,632.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.