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Finding the Third Proportional to 193,904 and 422,848

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Solution

The third proportional to 193,904 and 422,848 is: 922,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,904 : 422,848 = 422,848 : x
  2. Step 2: Convert to fraction form
    193,904/422,848 = 422,848/x
  3. Step 3: Cross multiply
    193,904x = 422,848 × 422,848
  4. Step 4: Simplify right side
    193,904x = 178,800,431,104
  5. Step 5: Solve for x
    x = 178,800,431,104/193,904
  6. Step 6: Final answer
    x = 922,108.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.