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Finding the Third Proportional to 127,744 and 263,687

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Solution

The third proportional to 127,744 and 263,687 is: 544,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,744 : 263,687 = 263,687 : x
  2. Step 2: Convert to fraction form
    127,744/263,687 = 263,687/x
  3. Step 3: Cross multiply
    127,744x = 263,687 × 263,687
  4. Step 4: Simplify right side
    127,744x = 69,530,833,969
  5. Step 5: Solve for x
    x = 69,530,833,969/127,744
  6. Step 6: Final answer
    x = 544,298.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.