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Finding the Third Proportional to 167,674 and 261,718

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Solution

The third proportional to 167,674 and 261,718 is: 408,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,674 : 261,718 = 261,718 : x
  2. Step 2: Convert to fraction form
    167,674/261,718 = 261,718/x
  3. Step 3: Cross multiply
    167,674x = 261,718 × 261,718
  4. Step 4: Simplify right side
    167,674x = 68,496,311,524
  5. Step 5: Solve for x
    x = 68,496,311,524/167,674
  6. Step 6: Final answer
    x = 408,508.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.