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Finding the Third Proportional to 221,544 and 332,538

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Solution

The third proportional to 221,544 and 332,538 is: 499,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,544 : 332,538 = 332,538 : x
  2. Step 2: Convert to fraction form
    221,544/332,538 = 332,538/x
  3. Step 3: Cross multiply
    221,544x = 332,538 × 332,538
  4. Step 4: Simplify right side
    221,544x = 110,581,521,444
  5. Step 5: Solve for x
    x = 110,581,521,444/221,544
  6. Step 6: Final answer
    x = 499,140.22

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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.