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Finding the Third Proportional to 192,516 and 422,230

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Solution

The third proportional to 192,516 and 422,230 is: 926,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,516 : 422,230 = 422,230 : x
  2. Step 2: Convert to fraction form
    192,516/422,230 = 422,230/x
  3. Step 3: Cross multiply
    192,516x = 422,230 × 422,230
  4. Step 4: Simplify right side
    192,516x = 178,278,172,900
  5. Step 5: Solve for x
    x = 178,278,172,900/192,516
  6. Step 6: Final answer
    x = 926,043.41

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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.