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Finding the Third Proportional to 221,740 and 332,266

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Solution

The third proportional to 221,740 and 332,266 is: 497,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,740 : 332,266 = 332,266 : x
  2. Step 2: Convert to fraction form
    221,740/332,266 = 332,266/x
  3. Step 3: Cross multiply
    221,740x = 332,266 × 332,266
  4. Step 4: Simplify right side
    221,740x = 110,400,694,756
  5. Step 5: Solve for x
    x = 110,400,694,756/221,740
  6. Step 6: Final answer
    x = 497,883.53

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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.