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Finding the Third Proportional to 199,987 and 281,268

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Solution

The third proportional to 199,987 and 281,268 is: 395,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,987 : 281,268 = 281,268 : x
  2. Step 2: Convert to fraction form
    199,987/281,268 = 281,268/x
  3. Step 3: Cross multiply
    199,987x = 281,268 × 281,268
  4. Step 4: Simplify right side
    199,987x = 79,111,687,824
  5. Step 5: Solve for x
    x = 79,111,687,824/199,987
  6. Step 6: Final answer
    x = 395,584.15

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.