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Finding the Third Proportional to 200,108 and 281,442

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Solution

The third proportional to 200,108 and 281,442 is: 395,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,108 : 281,442 = 281,442 : x
  2. Step 2: Convert to fraction form
    200,108/281,442 = 281,442/x
  3. Step 3: Cross multiply
    200,108x = 281,442 × 281,442
  4. Step 4: Simplify right side
    200,108x = 79,209,599,364
  5. Step 5: Solve for x
    x = 79,209,599,364/200,108
  6. Step 6: Final answer
    x = 395,834.25

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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.