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Finding the Third Proportional to 232,877 and 327,850

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Solution

The third proportional to 232,877 and 327,850 is: 461,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,877 : 327,850 = 327,850 : x
  2. Step 2: Convert to fraction form
    232,877/327,850 = 327,850/x
  3. Step 3: Cross multiply
    232,877x = 327,850 × 327,850
  4. Step 4: Simplify right side
    232,877x = 107,485,622,500
  5. Step 5: Solve for x
    x = 107,485,622,500/232,877
  6. Step 6: Final answer
    x = 461,555.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.