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Finding the Third Proportional to 84,170 and 184,177

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Solution

The third proportional to 84,170 and 184,177 is: 403,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,170 : 184,177 = 184,177 : x
  2. Step 2: Convert to fraction form
    84,170/184,177 = 184,177/x
  3. Step 3: Cross multiply
    84,170x = 184,177 × 184,177
  4. Step 4: Simplify right side
    84,170x = 33,921,167,329
  5. Step 5: Solve for x
    x = 33,921,167,329/84,170
  6. Step 6: Final answer
    x = 403,007.81

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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.