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Finding the Third Proportional to 232.88 and 480.38

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Solution

The third proportional to 232.88 and 480.38 is: 990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 480.38 = 480.38 : x
  2. Step 2: Convert to fraction form
    232.88/480.38 = 480.38/x
  3. Step 3: Cross multiply
    232.88x = 480.38 × 480.38
  4. Step 4: Simplify right side
    232.88x = 230,760.14
  5. Step 5: Solve for x
    x = 230,760.14/232.88
  6. Step 6: Final answer
    x = 990.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.