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Finding the Third Proportional to 221,611 and 332,334

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Solution

The third proportional to 221,611 and 332,334 is: 498,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,611 : 332,334 = 332,334 : x
  2. Step 2: Convert to fraction form
    221,611/332,334 = 332,334/x
  3. Step 3: Cross multiply
    221,611x = 332,334 × 332,334
  4. Step 4: Simplify right side
    221,611x = 110,445,887,556
  5. Step 5: Solve for x
    x = 110,445,887,556/221,611
  6. Step 6: Final answer
    x = 498,377.28

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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.