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Finding the Third Proportional to 184,401 and 275,422

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Solution

The third proportional to 184,401 and 275,422 is: 411,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,401 : 275,422 = 275,422 : x
  2. Step 2: Convert to fraction form
    184,401/275,422 = 275,422/x
  3. Step 3: Cross multiply
    184,401x = 275,422 × 275,422
  4. Step 4: Simplify right side
    184,401x = 75,857,278,084
  5. Step 5: Solve for x
    x = 75,857,278,084/184,401
  6. Step 6: Final answer
    x = 411,371.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.