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Finding the Third Proportional to 84,227 and 184,279

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Solution

The third proportional to 84,227 and 184,279 is: 403,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,227 : 184,279 = 184,279 : x
  2. Step 2: Convert to fraction form
    84,227/184,279 = 184,279/x
  3. Step 3: Cross multiply
    84,227x = 184,279 × 184,279
  4. Step 4: Simplify right side
    84,227x = 33,958,749,841
  5. Step 5: Solve for x
    x = 33,958,749,841/84,227
  6. Step 6: Final answer
    x = 403,181.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.