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Finding the Third Proportional to 224 and 517

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Solution

The third proportional to 224 and 517 is: 1,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 517 = 517 : x
  2. Step 2: Convert to fraction form
    224/517 = 517/x
  3. Step 3: Cross multiply
    224x = 517 × 517
  4. Step 4: Simplify right side
    224x = 267,289
  5. Step 5: Solve for x
    x = 267,289/224
  6. Step 6: Final answer
    x = 1,193.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.