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Finding the Third Proportional to 112,846 and 247,831

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Solution

The third proportional to 112,846 and 247,831 is: 544,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,846 : 247,831 = 247,831 : x
  2. Step 2: Convert to fraction form
    112,846/247,831 = 247,831/x
  3. Step 3: Cross multiply
    112,846x = 247,831 × 247,831
  4. Step 4: Simplify right side
    112,846x = 61,420,204,561
  5. Step 5: Solve for x
    x = 61,420,204,561/112,846
  6. Step 6: Final answer
    x = 544,283.40

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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.