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Finding the Third Proportional to 184,673 and 396,929

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Solution

The third proportional to 184,673 and 396,929 is: 853,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,673 : 396,929 = 396,929 : x
  2. Step 2: Convert to fraction form
    184,673/396,929 = 396,929/x
  3. Step 3: Cross multiply
    184,673x = 396,929 × 396,929
  4. Step 4: Simplify right side
    184,673x = 157,552,631,041
  5. Step 5: Solve for x
    x = 157,552,631,041/184,673
  6. Step 6: Final answer
    x = 853,143.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.