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Finding the Third Proportional to 192,541 and 422,282

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Solution

The third proportional to 192,541 and 422,282 is: 926,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,541 : 422,282 = 422,282 : x
  2. Step 2: Convert to fraction form
    192,541/422,282 = 422,282/x
  3. Step 3: Cross multiply
    192,541x = 422,282 × 422,282
  4. Step 4: Simplify right side
    192,541x = 178,322,087,524
  5. Step 5: Solve for x
    x = 178,322,087,524/192,541
  6. Step 6: Final answer
    x = 926,151.25

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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.