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Finding the Third Proportional to 199,796 and 281,048

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Solution

The third proportional to 199,796 and 281,048 is: 395,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,796 : 281,048 = 281,048 : x
  2. Step 2: Convert to fraction form
    199,796/281,048 = 281,048/x
  3. Step 3: Cross multiply
    199,796x = 281,048 × 281,048
  4. Step 4: Simplify right side
    199,796x = 78,987,978,304
  5. Step 5: Solve for x
    x = 78,987,978,304/199,796
  6. Step 6: Final answer
    x = 395,343.14

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Why These Related Problems?

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