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Finding the Third Proportional to 184,665.75 and 396,915.38

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Solution

The third proportional to 184,665.75 and 396,915.38 is: 853,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,665.75 : 396,915.38 = 396,915.38 : x
  2. Step 2: Convert to fraction form
    184,665.75/396,915.38 = 396,915.38/x
  3. Step 3: Cross multiply
    184,665.75x = 396,915.38 × 396,915.38
  4. Step 4: Simplify right side
    184,665.75x = 157,541,814,911.39
  5. Step 5: Solve for x
    x = 157,541,814,911.39/184,665.75
  6. Step 6: Final answer
    x = 853,118.76

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