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Finding the Third Proportional to 167.20 and 244.62

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Solution

The third proportional to 167.20 and 244.62 is: 357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.20 : 244.62 = 244.62 : x
  2. Step 2: Convert to fraction form
    167.20/244.62 = 244.62/x
  3. Step 3: Cross multiply
    167.20x = 244.62 × 244.62
  4. Step 4: Simplify right side
    167.20x = 59,837.57
  5. Step 5: Solve for x
    x = 59,837.57/167.20
  6. Step 6: Final answer
    x = 357.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.