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Finding the Third Proportional to 168.96 and 252.11

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Solution

The third proportional to 168.96 and 252.11 is: 376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.96 : 252.11 = 252.11 : x
  2. Step 2: Convert to fraction form
    168.96/252.11 = 252.11/x
  3. Step 3: Cross multiply
    168.96x = 252.11 × 252.11
  4. Step 4: Simplify right side
    168.96x = 63,557.17
  5. Step 5: Solve for x
    x = 63,557.17/168.96
  6. Step 6: Final answer
    x = 376.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.