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Finding the Third Proportional to 183,786 and 396,916

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Solution

The third proportional to 183,786 and 396,916 is: 857,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,786 : 396,916 = 396,916 : x
  2. Step 2: Convert to fraction form
    183,786/396,916 = 396,916/x
  3. Step 3: Cross multiply
    183,786x = 396,916 × 396,916
  4. Step 4: Simplify right side
    183,786x = 157,542,311,056
  5. Step 5: Solve for x
    x = 157,542,311,056/183,786
  6. Step 6: Final answer
    x = 857,205.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.