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Finding the Third Proportional to 181,769 and 386,866

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Solution

The third proportional to 181,769 and 386,866 is: 823,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,769 : 386,866 = 386,866 : x
  2. Step 2: Convert to fraction form
    181,769/386,866 = 386,866/x
  3. Step 3: Cross multiply
    181,769x = 386,866 × 386,866
  4. Step 4: Simplify right side
    181,769x = 149,665,301,956
  5. Step 5: Solve for x
    x = 149,665,301,956/181,769
  6. Step 6: Final answer
    x = 823,381.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.