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Finding the Third Proportional to 166,836 and 251,694

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Solution

The third proportional to 166,836 and 251,694 is: 379,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,836 : 251,694 = 251,694 : x
  2. Step 2: Convert to fraction form
    166,836/251,694 = 251,694/x
  3. Step 3: Cross multiply
    166,836x = 251,694 × 251,694
  4. Step 4: Simplify right side
    166,836x = 63,349,869,636
  5. Step 5: Solve for x
    x = 63,349,869,636/166,836
  6. Step 6: Final answer
    x = 379,713.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.