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Finding the Third Proportional to 184,672 and 396,928

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Solution

The third proportional to 184,672 and 396,928 is: 853,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,672 : 396,928 = 396,928 : x
  2. Step 2: Convert to fraction form
    184,672/396,928 = 396,928/x
  3. Step 3: Cross multiply
    184,672x = 396,928 × 396,928
  4. Step 4: Simplify right side
    184,672x = 157,551,837,184
  5. Step 5: Solve for x
    x = 157,551,837,184/184,672
  6. Step 6: Final answer
    x = 853,144.15

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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.