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Finding the Third Proportional to 201,341 and 281,636

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Solution

The third proportional to 201,341 and 281,636 is: 393,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,341 : 281,636 = 281,636 : x
  2. Step 2: Convert to fraction form
    201,341/281,636 = 281,636/x
  3. Step 3: Cross multiply
    201,341x = 281,636 × 281,636
  4. Step 4: Simplify right side
    201,341x = 79,318,836,496
  5. Step 5: Solve for x
    x = 79,318,836,496/201,341
  6. Step 6: Final answer
    x = 393,952.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.