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Finding the Third Proportional to 168.88 and 402.75

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Solution

The third proportional to 168.88 and 402.75 is: 960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.88 : 402.75 = 402.75 : x
  2. Step 2: Convert to fraction form
    168.88/402.75 = 402.75/x
  3. Step 3: Cross multiply
    168.88x = 402.75 × 402.75
  4. Step 4: Simplify right side
    168.88x = 162,207.56
  5. Step 5: Solve for x
    x = 162,207.56/168.88
  6. Step 6: Final answer
    x = 960.52

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.