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Finding the Third Proportional to 199,794 and 281,046

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Solution

The third proportional to 199,794 and 281,046 is: 395,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,794 : 281,046 = 281,046 : x
  2. Step 2: Convert to fraction form
    199,794/281,046 = 281,046/x
  3. Step 3: Cross multiply
    199,794x = 281,046 × 281,046
  4. Step 4: Simplify right side
    199,794x = 78,986,854,116
  5. Step 5: Solve for x
    x = 78,986,854,116/199,794
  6. Step 6: Final answer
    x = 395,341.47

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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.