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Finding the Third Proportional to 201,180 and 281,934.75

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Solution

The third proportional to 201,180 and 281,934.75 is: 395,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,180 : 281,934.75 = 281,934.75 : x
  2. Step 2: Convert to fraction form
    201,180/281,934.75 = 281,934.75/x
  3. Step 3: Cross multiply
    201,180x = 281,934.75 × 281,934.75
  4. Step 4: Simplify right side
    201,180x = 79,487,203,257.56
  5. Step 5: Solve for x
    x = 79,487,203,257.56/201,180
  6. Step 6: Final answer
    x = 395,104.90

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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.