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Finding the Third Proportional to 168.96 and 182.84

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Solution

The third proportional to 168.96 and 182.84 is: 197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.96 : 182.84 = 182.84 : x
  2. Step 2: Convert to fraction form
    168.96/182.84 = 182.84/x
  3. Step 3: Cross multiply
    168.96x = 182.84 × 182.84
  4. Step 4: Simplify right side
    168.96x = 33,431.66
  5. Step 5: Solve for x
    x = 33,431.66/168.96
  6. Step 6: Final answer
    x = 197.87

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.