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Finding the Third Proportional to 166,367 and 255,976

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Solution

The third proportional to 166,367 and 255,976 is: 393,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,367 : 255,976 = 255,976 : x
  2. Step 2: Convert to fraction form
    166,367/255,976 = 255,976/x
  3. Step 3: Cross multiply
    166,367x = 255,976 × 255,976
  4. Step 4: Simplify right side
    166,367x = 65,523,712,576
  5. Step 5: Solve for x
    x = 65,523,712,576/166,367
  6. Step 6: Final answer
    x = 393,850.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.