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Finding the Third Proportional to 127,800 and 263,793

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Solution

The third proportional to 127,800 and 263,793 is: 544,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,800 : 263,793 = 263,793 : x
  2. Step 2: Convert to fraction form
    127,800/263,793 = 263,793/x
  3. Step 3: Cross multiply
    127,800x = 263,793 × 263,793
  4. Step 4: Simplify right side
    127,800x = 69,586,746,849
  5. Step 5: Solve for x
    x = 69,586,746,849/127,800
  6. Step 6: Final answer
    x = 544,497.24

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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.