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Finding the Third Proportional to 166,794 and 251,632

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Solution

The third proportional to 166,794 and 251,632 is: 379,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,794 : 251,632 = 251,632 : x
  2. Step 2: Convert to fraction form
    166,794/251,632 = 251,632/x
  3. Step 3: Cross multiply
    166,794x = 251,632 × 251,632
  4. Step 4: Simplify right side
    166,794x = 63,318,663,424
  5. Step 5: Solve for x
    x = 63,318,663,424/166,794
  6. Step 6: Final answer
    x = 379,621.95

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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.