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Finding the Third Proportional to 110,736 and 244,314

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Solution

The third proportional to 110,736 and 244,314 is: 539,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,736 : 244,314 = 244,314 : x
  2. Step 2: Convert to fraction form
    110,736/244,314 = 244,314/x
  3. Step 3: Cross multiply
    110,736x = 244,314 × 244,314
  4. Step 4: Simplify right side
    110,736x = 59,689,330,596
  5. Step 5: Solve for x
    x = 59,689,330,596/110,736
  6. Step 6: Final answer
    x = 539,023.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.