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Finding the Third Proportional to 224.72 and 337.36

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Solution

The third proportional to 224.72 and 337.36 is: 506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.72 : 337.36 = 337.36 : x
  2. Step 2: Convert to fraction form
    224.72/337.36 = 337.36/x
  3. Step 3: Cross multiply
    224.72x = 337.36 × 337.36
  4. Step 4: Simplify right side
    224.72x = 113,811.35
  5. Step 5: Solve for x
    x = 113,811.35/224.72
  6. Step 6: Final answer
    x = 506.46

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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.