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Finding the Third Proportional to 221,404 and 332,376

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Solution

The third proportional to 221,404 and 332,376 is: 498,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,404 : 332,376 = 332,376 : x
  2. Step 2: Convert to fraction form
    221,404/332,376 = 332,376/x
  3. Step 3: Cross multiply
    221,404x = 332,376 × 332,376
  4. Step 4: Simplify right side
    221,404x = 110,473,805,376
  5. Step 5: Solve for x
    x = 110,473,805,376/221,404
  6. Step 6: Final answer
    x = 498,969.33

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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.