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Finding the Third Proportional to 84,717.38 and 184,200.94

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Solution

The third proportional to 84,717.38 and 184,200.94 is: 400,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,717.38 : 184,200.94 = 184,200.94 : x
  2. Step 2: Convert to fraction form
    84,717.38/184,200.94 = 184,200.94/x
  3. Step 3: Cross multiply
    84,717.38x = 184,200.94 × 184,200.94
  4. Step 4: Simplify right side
    84,717.38x = 33,929,985,375.88
  5. Step 5: Solve for x
    x = 33,929,985,375.88/84,717.38
  6. Step 6: Final answer
    x = 400,507.99

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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.