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Finding the Third Proportional to 167.75 and 371.38

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Solution

The third proportional to 167.75 and 371.38 is: 822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.75 : 371.38 = 371.38 : x
  2. Step 2: Convert to fraction form
    167.75/371.38 = 371.38/x
  3. Step 3: Cross multiply
    167.75x = 371.38 × 371.38
  4. Step 4: Simplify right side
    167.75x = 137,919.39
  5. Step 5: Solve for x
    x = 137,919.39/167.75
  6. Step 6: Final answer
    x = 822.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.