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Finding the Third Proportional to 143,399 and 200,568

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Solution

The third proportional to 143,399 and 200,568 is: 280,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,399 : 200,568 = 200,568 : x
  2. Step 2: Convert to fraction form
    143,399/200,568 = 200,568/x
  3. Step 3: Cross multiply
    143,399x = 200,568 × 200,568
  4. Step 4: Simplify right side
    143,399x = 40,227,522,624
  5. Step 5: Solve for x
    x = 40,227,522,624/143,399
  6. Step 6: Final answer
    x = 280,528.61

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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.