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Finding the Third Proportional to 221,540 and 332,240

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Solution

The third proportional to 221,540 and 332,240 is: 498,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,540 : 332,240 = 332,240 : x
  2. Step 2: Convert to fraction form
    221,540/332,240 = 332,240/x
  3. Step 3: Cross multiply
    221,540x = 332,240 × 332,240
  4. Step 4: Simplify right side
    221,540x = 110,383,417,600
  5. Step 5: Solve for x
    x = 110,383,417,600/221,540
  6. Step 6: Final answer
    x = 498,255.02

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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.