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Finding the Third Proportional to 221,734 and 332,259

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Solution

The third proportional to 221,734 and 332,259 is: 497,876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,734 : 332,259 = 332,259 : x
  2. Step 2: Convert to fraction form
    221,734/332,259 = 332,259/x
  3. Step 3: Cross multiply
    221,734x = 332,259 × 332,259
  4. Step 4: Simplify right side
    221,734x = 110,396,043,081
  5. Step 5: Solve for x
    x = 110,396,043,081/221,734
  6. Step 6: Final answer
    x = 497,876.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.