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Finding the Third Proportional to 232.24 and 308.18

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Solution

The third proportional to 232.24 and 308.18 is: 408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.24 : 308.18 = 308.18 : x
  2. Step 2: Convert to fraction form
    232.24/308.18 = 308.18/x
  3. Step 3: Cross multiply
    232.24x = 308.18 × 308.18
  4. Step 4: Simplify right side
    232.24x = 94,974.72
  5. Step 5: Solve for x
    x = 94,974.72/232.24
  6. Step 6: Final answer
    x = 408.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.