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Finding the Third Proportional to 168.33 and 349.73

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Solution

The third proportional to 168.33 and 349.73 is: 726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.33 : 349.73 = 349.73 : x
  2. Step 2: Convert to fraction form
    168.33/349.73 = 349.73/x
  3. Step 3: Cross multiply
    168.33x = 349.73 × 349.73
  4. Step 4: Simplify right side
    168.33x = 122,314.13
  5. Step 5: Solve for x
    x = 122,314.13/168.33
  6. Step 6: Final answer
    x = 726.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.