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Finding the Third Proportional to 184,669 and 396,923

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Solution

The third proportional to 184,669 and 396,923 is: 853,136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,669 : 396,923 = 396,923 : x
  2. Step 2: Convert to fraction form
    184,669/396,923 = 396,923/x
  3. Step 3: Cross multiply
    184,669x = 396,923 × 396,923
  4. Step 4: Simplify right side
    184,669x = 157,547,867,929
  5. Step 5: Solve for x
    x = 157,547,867,929/184,669
  6. Step 6: Final answer
    x = 853,136.52

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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.