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Finding the Third Proportional to 232.31 and 450.56

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Solution

The third proportional to 232.31 and 450.56 is: 873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.31 : 450.56 = 450.56 : x
  2. Step 2: Convert to fraction form
    232.31/450.56 = 450.56/x
  3. Step 3: Cross multiply
    232.31x = 450.56 × 450.56
  4. Step 4: Simplify right side
    232.31x = 203,006.57
  5. Step 5: Solve for x
    x = 203,006.57/232.31
  6. Step 6: Final answer
    x = 873.85

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.