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Finding the Third Proportional to 192,826 and 416,846

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Solution

The third proportional to 192,826 and 416,846 is: 901,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,826 : 416,846 = 416,846 : x
  2. Step 2: Convert to fraction form
    192,826/416,846 = 416,846/x
  3. Step 3: Cross multiply
    192,826x = 416,846 × 416,846
  4. Step 4: Simplify right side
    192,826x = 173,760,587,716
  5. Step 5: Solve for x
    x = 173,760,587,716/192,826
  6. Step 6: Final answer
    x = 901,126.34

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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.