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Finding the Third Proportional to 112,831 and 247,805

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Solution

The third proportional to 112,831 and 247,805 is: 544,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,831 : 247,805 = 247,805 : x
  2. Step 2: Convert to fraction form
    112,831/247,805 = 247,805/x
  3. Step 3: Cross multiply
    112,831x = 247,805 × 247,805
  4. Step 4: Simplify right side
    112,831x = 61,407,318,025
  5. Step 5: Solve for x
    x = 61,407,318,025/112,831
  6. Step 6: Final answer
    x = 544,241.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.