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Finding the Third Proportional to 143,002 and 214,227

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Solution

The third proportional to 143,002 and 214,227 is: 320,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,002 : 214,227 = 214,227 : x
  2. Step 2: Convert to fraction form
    143,002/214,227 = 214,227/x
  3. Step 3: Cross multiply
    143,002x = 214,227 × 214,227
  4. Step 4: Simplify right side
    143,002x = 45,893,207,529
  5. Step 5: Solve for x
    x = 45,893,207,529/143,002
  6. Step 6: Final answer
    x = 320,927.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.