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Finding the Third Proportional to 67 and 151

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Solution

The third proportional to 67 and 151 is: 340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 151 = 151 : x
  2. Step 2: Convert to fraction form
    67/151 = 151/x
  3. Step 3: Cross multiply
    67x = 151 × 151
  4. Step 4: Simplify right side
    67x = 22,801
  5. Step 5: Solve for x
    x = 22,801/67
  6. Step 6: Final answer
    x = 340.31

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.