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Finding the Third Proportional to 127,329 and 269,836

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Solution

The third proportional to 127,329 and 269,836 is: 571,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,329 : 269,836 = 269,836 : x
  2. Step 2: Convert to fraction form
    127,329/269,836 = 269,836/x
  3. Step 3: Cross multiply
    127,329x = 269,836 × 269,836
  4. Step 4: Simplify right side
    127,329x = 72,811,466,896
  5. Step 5: Solve for x
    x = 72,811,466,896/127,329
  6. Step 6: Final answer
    x = 571,837.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.