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Finding the Third Proportional to 221,881.78 and 329,401.69

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Solution

The third proportional to 221,881.78 and 329,401.69 is: 489,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,881.78 : 329,401.69 = 329,401.69 : x
  2. Step 2: Convert to fraction form
    221,881.78/329,401.69 = 329,401.69/x
  3. Step 3: Cross multiply
    221,881.78x = 329,401.69 × 329,401.69
  4. Step 4: Simplify right side
    221,881.78x = 108,505,471,727.85
  5. Step 5: Solve for x
    x = 108,505,471,727.85/221,881.78
  6. Step 6: Final answer
    x = 489,023.80

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.