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Finding the Third Proportional to 127,857 and 269,193

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Solution

The third proportional to 127,857 and 269,193 is: 566,764.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,857 : 269,193 = 269,193 : x
  2. Step 2: Convert to fraction form
    127,857/269,193 = 269,193/x
  3. Step 3: Cross multiply
    127,857x = 269,193 × 269,193
  4. Step 4: Simplify right side
    127,857x = 72,464,871,249
  5. Step 5: Solve for x
    x = 72,464,871,249/127,857
  6. Step 6: Final answer
    x = 566,764.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.