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Finding the Third Proportional to 192,816 and 416,826

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Solution

The third proportional to 192,816 and 416,826 is: 901,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,816 : 416,826 = 416,826 : x
  2. Step 2: Convert to fraction form
    192,816/416,826 = 416,826/x
  3. Step 3: Cross multiply
    192,816x = 416,826 × 416,826
  4. Step 4: Simplify right side
    192,816x = 173,743,914,276
  5. Step 5: Solve for x
    x = 173,743,914,276/192,816
  6. Step 6: Final answer
    x = 901,086.60

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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.