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Finding the Third Proportional to 195,912 and 422,352

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Solution

The third proportional to 195,912 and 422,352 is: 910,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,912 : 422,352 = 422,352 : x
  2. Step 2: Convert to fraction form
    195,912/422,352 = 422,352/x
  3. Step 3: Cross multiply
    195,912x = 422,352 × 422,352
  4. Step 4: Simplify right side
    195,912x = 178,381,211,904
  5. Step 5: Solve for x
    x = 178,381,211,904/195,912
  6. Step 6: Final answer
    x = 910,517.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.