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Finding the Third Proportional to 79,331 and 166,843

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Solution

The third proportional to 79,331 and 166,843 is: 350,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,331 : 166,843 = 166,843 : x
  2. Step 2: Convert to fraction form
    79,331/166,843 = 166,843/x
  3. Step 3: Cross multiply
    79,331x = 166,843 × 166,843
  4. Step 4: Simplify right side
    79,331x = 27,836,586,649
  5. Step 5: Solve for x
    x = 27,836,586,649/79,331
  6. Step 6: Final answer
    x = 350,891.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.