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Finding the Third Proportional to 168.25 and 374.75

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Solution

The third proportional to 168.25 and 374.75 is: 834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.25 : 374.75 = 374.75 : x
  2. Step 2: Convert to fraction form
    168.25/374.75 = 374.75/x
  3. Step 3: Cross multiply
    168.25x = 374.75 × 374.75
  4. Step 4: Simplify right side
    168.25x = 140,437.56
  5. Step 5: Solve for x
    x = 140,437.56/168.25
  6. Step 6: Final answer
    x = 834.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.