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Finding the Third Proportional to 199,981 and 281,259

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Solution

The third proportional to 199,981 and 281,259 is: 395,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,981 : 281,259 = 281,259 : x
  2. Step 2: Convert to fraction form
    199,981/281,259 = 281,259/x
  3. Step 3: Cross multiply
    199,981x = 281,259 × 281,259
  4. Step 4: Simplify right side
    199,981x = 79,106,625,081
  5. Step 5: Solve for x
    x = 79,106,625,081/199,981
  6. Step 6: Final answer
    x = 395,570.70

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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.