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Finding the Third Proportional to 192,422 and 422,022

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Solution

The third proportional to 192,422 and 422,022 is: 925,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,422 : 422,022 = 422,022 : x
  2. Step 2: Convert to fraction form
    192,422/422,022 = 422,022/x
  3. Step 3: Cross multiply
    192,422x = 422,022 × 422,022
  4. Step 4: Simplify right side
    192,422x = 178,102,568,484
  5. Step 5: Solve for x
    x = 178,102,568,484/192,422
  6. Step 6: Final answer
    x = 925,583.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.