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Finding the Third Proportional to 122,367 and 251,322

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Solution

The third proportional to 122,367 and 251,322 is: 516,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,367 : 251,322 = 251,322 : x
  2. Step 2: Convert to fraction form
    122,367/251,322 = 251,322/x
  3. Step 3: Cross multiply
    122,367x = 251,322 × 251,322
  4. Step 4: Simplify right side
    122,367x = 63,162,747,684
  5. Step 5: Solve for x
    x = 63,162,747,684/122,367
  6. Step 6: Final answer
    x = 516,174.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.