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Finding the Third Proportional to 184,032 and 396,243

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Solution

The third proportional to 184,032 and 396,243 is: 853,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,032 : 396,243 = 396,243 : x
  2. Step 2: Convert to fraction form
    184,032/396,243 = 396,243/x
  3. Step 3: Cross multiply
    184,032x = 396,243 × 396,243
  4. Step 4: Simplify right side
    184,032x = 157,008,515,049
  5. Step 5: Solve for x
    x = 157,008,515,049/184,032
  6. Step 6: Final answer
    x = 853,158.77

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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.