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Finding the Third Proportional to 221,346 and 332,181

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Solution

The third proportional to 221,346 and 332,181 is: 498,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,346 : 332,181 = 332,181 : x
  2. Step 2: Convert to fraction form
    221,346/332,181 = 332,181/x
  3. Step 3: Cross multiply
    221,346x = 332,181 × 332,181
  4. Step 4: Simplify right side
    221,346x = 110,344,216,761
  5. Step 5: Solve for x
    x = 110,344,216,761/221,346
  6. Step 6: Final answer
    x = 498,514.62

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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.