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Finding the Third Proportional to 232,248 and 327,059

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Solution

The third proportional to 232,248 and 327,059 is: 460,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,248 : 327,059 = 327,059 : x
  2. Step 2: Convert to fraction form
    232,248/327,059 = 327,059/x
  3. Step 3: Cross multiply
    232,248x = 327,059 × 327,059
  4. Step 4: Simplify right side
    232,248x = 106,967,589,481
  5. Step 5: Solve for x
    x = 106,967,589,481/232,248
  6. Step 6: Final answer
    x = 460,574.86

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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.