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Finding the Third Proportional to 184,934 and 270,816

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Solution

The third proportional to 184,934 and 270,816 is: 396,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,934 : 270,816 = 270,816 : x
  2. Step 2: Convert to fraction form
    184,934/270,816 = 270,816/x
  3. Step 3: Cross multiply
    184,934x = 270,816 × 270,816
  4. Step 4: Simplify right side
    184,934x = 73,341,305,856
  5. Step 5: Solve for x
    x = 73,341,305,856/184,934
  6. Step 6: Final answer
    x = 396,580.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.