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Finding the Third Proportional to 84,832 and 184,244

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Solution

The third proportional to 84,832 and 184,244 is: 400,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,832 : 184,244 = 184,244 : x
  2. Step 2: Convert to fraction form
    84,832/184,244 = 184,244/x
  3. Step 3: Cross multiply
    84,832x = 184,244 × 184,244
  4. Step 4: Simplify right side
    84,832x = 33,945,851,536
  5. Step 5: Solve for x
    x = 33,945,851,536/84,832
  6. Step 6: Final answer
    x = 400,153.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.