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Finding the Third Proportional to 224.25 and 343.85

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Solution

The third proportional to 224.25 and 343.85 is: 527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.25 : 343.85 = 343.85 : x
  2. Step 2: Convert to fraction form
    224.25/343.85 = 343.85/x
  3. Step 3: Cross multiply
    224.25x = 343.85 × 343.85
  4. Step 4: Simplify right side
    224.25x = 118,235.91
  5. Step 5: Solve for x
    x = 118,235.91/224.25
  6. Step 6: Final answer
    x = 527.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.