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Finding the Third Proportional to 221,416 and 332,396

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Solution

The third proportional to 221,416 and 332,396 is: 499,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,416 : 332,396 = 332,396 : x
  2. Step 2: Convert to fraction form
    221,416/332,396 = 332,396/x
  3. Step 3: Cross multiply
    221,416x = 332,396 × 332,396
  4. Step 4: Simplify right side
    221,416x = 110,487,100,816
  5. Step 5: Solve for x
    x = 110,487,100,816/221,416
  6. Step 6: Final answer
    x = 499,002.33

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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.