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Finding the Third Proportional to 232.50 and 256

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Solution

The third proportional to 232.50 and 256 is: 281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 256 = 256 : x
  2. Step 2: Convert to fraction form
    232.50/256 = 256/x
  3. Step 3: Cross multiply
    232.50x = 256 × 256
  4. Step 4: Simplify right side
    232.50x = 65,536
  5. Step 5: Solve for x
    x = 65,536/232.50
  6. Step 6: Final answer
    x = 281.88

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.