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Finding the Third Proportional to 143,351 and 200,500

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Solution

The third proportional to 143,351 and 200,500 is: 280,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,351 : 200,500 = 200,500 : x
  2. Step 2: Convert to fraction form
    143,351/200,500 = 200,500/x
  3. Step 3: Cross multiply
    143,351x = 200,500 × 200,500
  4. Step 4: Simplify right side
    143,351x = 40,200,250,000
  5. Step 5: Solve for x
    x = 40,200,250,000/143,351
  6. Step 6: Final answer
    x = 280,432.30

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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.