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Finding the Third Proportional to 144.76 and 224.73

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Solution

The third proportional to 144.76 and 224.73 is: 348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.76 : 224.73 = 224.73 : x
  2. Step 2: Convert to fraction form
    144.76/224.73 = 224.73/x
  3. Step 3: Cross multiply
    144.76x = 224.73 × 224.73
  4. Step 4: Simplify right side
    144.76x = 50,502.47
  5. Step 5: Solve for x
    x = 50,502.47/144.76
  6. Step 6: Final answer
    x = 348.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.