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Finding the Third Proportional to 282.23 and 517.64

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Solution

The third proportional to 282.23 and 517.64 is: 949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.23 : 517.64 = 517.64 : x
  2. Step 2: Convert to fraction form
    282.23/517.64 = 517.64/x
  3. Step 3: Cross multiply
    282.23x = 517.64 × 517.64
  4. Step 4: Simplify right side
    282.23x = 267,951.82
  5. Step 5: Solve for x
    x = 267,951.82/282.23
  6. Step 6: Final answer
    x = 949.39

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.