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Finding the Third Proportional to 192,456 and 422,091

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Solution

The third proportional to 192,456 and 422,091 is: 925,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,456 : 422,091 = 422,091 : x
  2. Step 2: Convert to fraction form
    192,456/422,091 = 422,091/x
  3. Step 3: Cross multiply
    192,456x = 422,091 × 422,091
  4. Step 4: Simplify right side
    192,456x = 178,160,812,281
  5. Step 5: Solve for x
    x = 178,160,812,281/192,456
  6. Step 6: Final answer
    x = 925,722.31

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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.