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Finding the Third Proportional to 275,161 and 366,916

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Solution

The third proportional to 275,161 and 366,916 is: 489,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,161 : 366,916 = 366,916 : x
  2. Step 2: Convert to fraction form
    275,161/366,916 = 366,916/x
  3. Step 3: Cross multiply
    275,161x = 366,916 × 366,916
  4. Step 4: Simplify right side
    275,161x = 134,627,351,056
  5. Step 5: Solve for x
    x = 134,627,351,056/275,161
  6. Step 6: Final answer
    x = 489,267.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.