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Finding the Third Proportional to 80,344 and 167,060

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Solution

The third proportional to 80,344 and 167,060 is: 347,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,344 : 167,060 = 167,060 : x
  2. Step 2: Convert to fraction form
    80,344/167,060 = 167,060/x
  3. Step 3: Cross multiply
    80,344x = 167,060 × 167,060
  4. Step 4: Simplify right side
    80,344x = 27,909,043,600
  5. Step 5: Solve for x
    x = 27,909,043,600/80,344
  6. Step 6: Final answer
    x = 347,369.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.