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Finding the Third Proportional to 168.38 and 257.06

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Solution

The third proportional to 168.38 and 257.06 is: 392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.38 : 257.06 = 257.06 : x
  2. Step 2: Convert to fraction form
    168.38/257.06 = 257.06/x
  3. Step 3: Cross multiply
    168.38x = 257.06 × 257.06
  4. Step 4: Simplify right side
    168.38x = 66,081.13
  5. Step 5: Solve for x
    x = 66,081.13/168.38
  6. Step 6: Final answer
    x = 392.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.