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Finding the Third Proportional to 192,542 and 422,284

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Solution

The third proportional to 192,542 and 422,284 is: 926,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,542 : 422,284 = 422,284 : x
  2. Step 2: Convert to fraction form
    192,542/422,284 = 422,284/x
  3. Step 3: Cross multiply
    192,542x = 422,284 × 422,284
  4. Step 4: Simplify right side
    192,542x = 178,323,776,656
  5. Step 5: Solve for x
    x = 178,323,776,656/192,542
  6. Step 6: Final answer
    x = 926,155.21

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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.