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Finding the Third Proportional to 127,325 and 269,828

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Solution

The third proportional to 127,325 and 269,828 is: 571,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,325 : 269,828 = 269,828 : x
  2. Step 2: Convert to fraction form
    127,325/269,828 = 269,828/x
  3. Step 3: Cross multiply
    127,325x = 269,828 × 269,828
  4. Step 4: Simplify right side
    127,325x = 72,807,149,584
  5. Step 5: Solve for x
    x = 72,807,149,584/127,325
  6. Step 6: Final answer
    x = 571,821.32

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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.