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Finding the Third Proportional to 232,251 and 327,063

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Solution

The third proportional to 232,251 and 327,063 is: 460,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,251 : 327,063 = 327,063 : x
  2. Step 2: Convert to fraction form
    232,251/327,063 = 327,063/x
  3. Step 3: Cross multiply
    232,251x = 327,063 × 327,063
  4. Step 4: Simplify right side
    232,251x = 106,970,205,969
  5. Step 5: Solve for x
    x = 106,970,205,969/232,251
  6. Step 6: Final answer
    x = 460,580.17

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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.