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Finding the Third Proportional to 184,930 and 270,811

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Solution

The third proportional to 184,930 and 270,811 is: 396,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,930 : 270,811 = 270,811 : x
  2. Step 2: Convert to fraction form
    184,930/270,811 = 270,811/x
  3. Step 3: Cross multiply
    184,930x = 270,811 × 270,811
  4. Step 4: Simplify right side
    184,930x = 73,338,597,721
  5. Step 5: Solve for x
    x = 73,338,597,721/184,930
  6. Step 6: Final answer
    x = 396,574.91

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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.