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Finding the Third Proportional to 281.92 and 422.88

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Solution

The third proportional to 281.92 and 422.88 is: 634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.92 : 422.88 = 422.88 : x
  2. Step 2: Convert to fraction form
    281.92/422.88 = 422.88/x
  3. Step 3: Cross multiply
    281.92x = 422.88 × 422.88
  4. Step 4: Simplify right side
    281.92x = 178,824.92
  5. Step 5: Solve for x
    x = 178,824.92/281.92
  6. Step 6: Final answer
    x = 634.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.