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Finding the Third Proportional to 194,844 and 426,192

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Solution

The third proportional to 194,844 and 426,192 is: 932,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,844 : 426,192 = 426,192 : x
  2. Step 2: Convert to fraction form
    194,844/426,192 = 426,192/x
  3. Step 3: Cross multiply
    194,844x = 426,192 × 426,192
  4. Step 4: Simplify right side
    194,844x = 181,639,620,864
  5. Step 5: Solve for x
    x = 181,639,620,864/194,844
  6. Step 6: Final answer
    x = 932,231.02

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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.