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Finding the Third Proportional to 168.14 and 399.89

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Solution

The third proportional to 168.14 and 399.89 is: 951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.14 : 399.89 = 399.89 : x
  2. Step 2: Convert to fraction form
    168.14/399.89 = 399.89/x
  3. Step 3: Cross multiply
    168.14x = 399.89 × 399.89
  4. Step 4: Simplify right side
    168.14x = 159,912.51
  5. Step 5: Solve for x
    x = 159,912.51/168.14
  6. Step 6: Final answer
    x = 951.06

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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.