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Finding the Third Proportional to 168.84 and 350.53

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Solution

The third proportional to 168.84 and 350.53 is: 727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.84 : 350.53 = 350.53 : x
  2. Step 2: Convert to fraction form
    168.84/350.53 = 350.53/x
  3. Step 3: Cross multiply
    168.84x = 350.53 × 350.53
  4. Step 4: Simplify right side
    168.84x = 122,872.16
  5. Step 5: Solve for x
    x = 122,872.16/168.84
  6. Step 6: Final answer
    x = 727.73

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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.