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Finding the Third Proportional to 112,828 and 263,686

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Solution

The third proportional to 112,828 and 263,686 is: 616,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,828 : 263,686 = 263,686 : x
  2. Step 2: Convert to fraction form
    112,828/263,686 = 263,686/x
  3. Step 3: Cross multiply
    112,828x = 263,686 × 263,686
  4. Step 4: Simplify right side
    112,828x = 69,530,306,596
  5. Step 5: Solve for x
    x = 69,530,306,596/112,828
  6. Step 6: Final answer
    x = 616,250.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.