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Finding the Third Proportional to 224.20 and 349.59

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Solution

The third proportional to 224.20 and 349.59 is: 545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.20 : 349.59 = 349.59 : x
  2. Step 2: Convert to fraction form
    224.20/349.59 = 349.59/x
  3. Step 3: Cross multiply
    224.20x = 349.59 × 349.59
  4. Step 4: Simplify right side
    224.20x = 122,215.79
  5. Step 5: Solve for x
    x = 122,215.79/224.20
  6. Step 6: Final answer
    x = 545.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.