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Finding the Third Proportional to 84,229 and 181,579

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Solution

The third proportional to 84,229 and 181,579 is: 391,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,229 : 181,579 = 181,579 : x
  2. Step 2: Convert to fraction form
    84,229/181,579 = 181,579/x
  3. Step 3: Cross multiply
    84,229x = 181,579 × 181,579
  4. Step 4: Simplify right side
    84,229x = 32,970,933,241
  5. Step 5: Solve for x
    x = 32,970,933,241/84,229
  6. Step 6: Final answer
    x = 391,443.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.