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Finding the Third Proportional to 120.56 and 232.13

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Solution

The third proportional to 120.56 and 232.13 is: 446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.56 : 232.13 = 232.13 : x
  2. Step 2: Convert to fraction form
    120.56/232.13 = 232.13/x
  3. Step 3: Cross multiply
    120.56x = 232.13 × 232.13
  4. Step 4: Simplify right side
    120.56x = 53,882.02
  5. Step 5: Solve for x
    x = 53,882.02/120.56
  6. Step 6: Final answer
    x = 446.92

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.