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Finding the Third Proportional to 167 and 192.25

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Solution

The third proportional to 167 and 192.25 is: 221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167 : 192.25 = 192.25 : x
  2. Step 2: Convert to fraction form
    167/192.25 = 192.25/x
  3. Step 3: Cross multiply
    167x = 192.25 × 192.25
  4. Step 4: Simplify right side
    167x = 36,960.06
  5. Step 5: Solve for x
    x = 36,960.06/167
  6. Step 6: Final answer
    x = 221.32

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.