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Finding the Third Proportional to 184,540 and 275,849

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Solution

The third proportional to 184,540 and 275,849 is: 412,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,540 : 275,849 = 275,849 : x
  2. Step 2: Convert to fraction form
    184,540/275,849 = 275,849/x
  3. Step 3: Cross multiply
    184,540x = 275,849 × 275,849
  4. Step 4: Simplify right side
    184,540x = 76,092,670,801
  5. Step 5: Solve for x
    x = 76,092,670,801/184,540
  6. Step 6: Final answer
    x = 412,337.00

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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.