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Finding the Third Proportional to 232,255 and 327,067

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Solution

The third proportional to 232,255 and 327,067 is: 460,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,255 : 327,067 = 327,067 : x
  2. Step 2: Convert to fraction form
    232,255/327,067 = 327,067/x
  3. Step 3: Cross multiply
    232,255x = 327,067 × 327,067
  4. Step 4: Simplify right side
    232,255x = 106,972,822,489
  5. Step 5: Solve for x
    x = 106,972,822,489/232,255
  6. Step 6: Final answer
    x = 460,583.51

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