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Finding the Third Proportional to 184,663 and 396,911

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Solution

The third proportional to 184,663 and 396,911 is: 853,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,663 : 396,911 = 396,911 : x
  2. Step 2: Convert to fraction form
    184,663/396,911 = 396,911/x
  3. Step 3: Cross multiply
    184,663x = 396,911 × 396,911
  4. Step 4: Simplify right side
    184,663x = 157,538,341,921
  5. Step 5: Solve for x
    x = 157,538,341,921/184,663
  6. Step 6: Final answer
    x = 853,112.65

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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.