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Finding the Third Proportional to 227.02 and 349.41

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Solution

The third proportional to 227.02 and 349.41 is: 537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.02 : 349.41 = 349.41 : x
  2. Step 2: Convert to fraction form
    227.02/349.41 = 349.41/x
  3. Step 3: Cross multiply
    227.02x = 349.41 × 349.41
  4. Step 4: Simplify right side
    227.02x = 122,084.73
  5. Step 5: Solve for x
    x = 122,084.73/227.02
  6. Step 6: Final answer
    x = 537.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.