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Finding the Third Proportional to 167.13 and 257.22

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Solution

The third proportional to 167.13 and 257.22 is: 395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.13 : 257.22 = 257.22 : x
  2. Step 2: Convert to fraction form
    167.13/257.22 = 257.22/x
  3. Step 3: Cross multiply
    167.13x = 257.22 × 257.22
  4. Step 4: Simplify right side
    167.13x = 66,162.49
  5. Step 5: Solve for x
    x = 66,162.49/167.13
  6. Step 6: Final answer
    x = 395.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.