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Finding the Third Proportional to 184,858.50 and 378,474

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Solution

The third proportional to 184,858.50 and 378,474 is: 774,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,858.50 : 378,474 = 378,474 : x
  2. Step 2: Convert to fraction form
    184,858.50/378,474 = 378,474/x
  3. Step 3: Cross multiply
    184,858.50x = 378,474 × 378,474
  4. Step 4: Simplify right side
    184,858.50x = 143,242,568,676
  5. Step 5: Solve for x
    x = 143,242,568,676/184,858.50
  6. Step 6: Final answer
    x = 774,876.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.