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Finding the Third Proportional to 201,350 and 282,249

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Solution

The third proportional to 201,350 and 282,249 is: 395,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,350 : 282,249 = 282,249 : x
  2. Step 2: Convert to fraction form
    201,350/282,249 = 282,249/x
  3. Step 3: Cross multiply
    201,350x = 282,249 × 282,249
  4. Step 4: Simplify right side
    201,350x = 79,664,498,001
  5. Step 5: Solve for x
    x = 79,664,498,001/201,350
  6. Step 6: Final answer
    x = 395,651.84

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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.