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Finding the Third Proportional to 220,086 and 329,994

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Solution

The third proportional to 220,086 and 329,994 is: 494,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,086 : 329,994 = 329,994 : x
  2. Step 2: Convert to fraction form
    220,086/329,994 = 329,994/x
  3. Step 3: Cross multiply
    220,086x = 329,994 × 329,994
  4. Step 4: Simplify right side
    220,086x = 108,896,040,036
  5. Step 5: Solve for x
    x = 108,896,040,036/220,086
  6. Step 6: Final answer
    x = 494,788.58

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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.