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Finding the Third Proportional to 282.09 and 422.72

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Solution

The third proportional to 282.09 and 422.72 is: 633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.09 : 422.72 = 422.72 : x
  2. Step 2: Convert to fraction form
    282.09/422.72 = 422.72/x
  3. Step 3: Cross multiply
    282.09x = 422.72 × 422.72
  4. Step 4: Simplify right side
    282.09x = 178,691.14
  5. Step 5: Solve for x
    x = 178,691.14/282.09
  6. Step 6: Final answer
    x = 633.45

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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.