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Finding the Third Proportional to 143,006 and 214,233

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Solution

The third proportional to 143,006 and 214,233 is: 320,936.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,006 : 214,233 = 214,233 : x
  2. Step 2: Convert to fraction form
    143,006/214,233 = 214,233/x
  3. Step 3: Cross multiply
    143,006x = 214,233 × 214,233
  4. Step 4: Simplify right side
    143,006x = 45,895,778,289
  5. Step 5: Solve for x
    x = 45,895,778,289/143,006
  6. Step 6: Final answer
    x = 320,936.03

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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.