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Finding the Third Proportional to 199,790 and 281,040

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Solution

The third proportional to 199,790 and 281,040 is: 395,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,790 : 281,040 = 281,040 : x
  2. Step 2: Convert to fraction form
    199,790/281,040 = 281,040/x
  3. Step 3: Cross multiply
    199,790x = 281,040 × 281,040
  4. Step 4: Simplify right side
    199,790x = 78,983,481,600
  5. Step 5: Solve for x
    x = 78,983,481,600/199,790
  6. Step 6: Final answer
    x = 395,332.51

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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.