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Finding the Third Proportional to 192,424 and 422,026

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Solution

The third proportional to 192,424 and 422,026 is: 925,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,424 : 422,026 = 422,026 : x
  2. Step 2: Convert to fraction form
    192,424/422,026 = 422,026/x
  3. Step 3: Cross multiply
    192,424x = 422,026 × 422,026
  4. Step 4: Simplify right side
    192,424x = 178,105,944,676
  5. Step 5: Solve for x
    x = 178,105,944,676/192,424
  6. Step 6: Final answer
    x = 925,591.11

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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.