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Finding the Third Proportional to 194,912 and 422,848

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Solution

The third proportional to 194,912 and 422,848 is: 917,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,912 : 422,848 = 422,848 : x
  2. Step 2: Convert to fraction form
    194,912/422,848 = 422,848/x
  3. Step 3: Cross multiply
    194,912x = 422,848 × 422,848
  4. Step 4: Simplify right side
    194,912x = 178,800,431,104
  5. Step 5: Solve for x
    x = 178,800,431,104/194,912
  6. Step 6: Final answer
    x = 917,339.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.