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Finding the Third Proportional to 184,879.50 and 378,520.50

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Solution

The third proportional to 184,879.50 and 378,520.50 is: 774,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,879.50 : 378,520.50 = 378,520.50 : x
  2. Step 2: Convert to fraction form
    184,879.50/378,520.50 = 378,520.50/x
  3. Step 3: Cross multiply
    184,879.50x = 378,520.50 × 378,520.50
  4. Step 4: Simplify right side
    184,879.50x = 143,277,768,920.25
  5. Step 5: Solve for x
    x = 143,277,768,920.25/184,879.50
  6. Step 6: Final answer
    x = 774,979.21

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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.