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Finding the Third Proportional to 125,296 and 269,978

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Solution

The third proportional to 125,296 and 269,978 is: 581,727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,296 : 269,978 = 269,978 : x
  2. Step 2: Convert to fraction form
    125,296/269,978 = 269,978/x
  3. Step 3: Cross multiply
    125,296x = 269,978 × 269,978
  4. Step 4: Simplify right side
    125,296x = 72,888,120,484
  5. Step 5: Solve for x
    x = 72,888,120,484/125,296
  6. Step 6: Final answer
    x = 581,727.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.