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Finding the Third Proportional to 184,786 and 278,843

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Solution

The third proportional to 184,786 and 278,843 is: 420,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,786 : 278,843 = 278,843 : x
  2. Step 2: Convert to fraction form
    184,786/278,843 = 278,843/x
  3. Step 3: Cross multiply
    184,786x = 278,843 × 278,843
  4. Step 4: Simplify right side
    184,786x = 77,753,418,649
  5. Step 5: Solve for x
    x = 77,753,418,649/184,786
  6. Step 6: Final answer
    x = 420,775.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.