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Finding the Third Proportional to 221,491 and 332,167

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Solution

The third proportional to 221,491 and 332,167 is: 498,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,491 : 332,167 = 332,167 : x
  2. Step 2: Convert to fraction form
    221,491/332,167 = 332,167/x
  3. Step 3: Cross multiply
    221,491x = 332,167 × 332,167
  4. Step 4: Simplify right side
    221,491x = 110,334,915,889
  5. Step 5: Solve for x
    x = 110,334,915,889/221,491
  6. Step 6: Final answer
    x = 498,146.27

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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.