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Finding the Third Proportional to 194,934 and 405,192

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Solution

The third proportional to 194,934 and 405,192 is: 842,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,934 : 405,192 = 405,192 : x
  2. Step 2: Convert to fraction form
    194,934/405,192 = 405,192/x
  3. Step 3: Cross multiply
    194,934x = 405,192 × 405,192
  4. Step 4: Simplify right side
    194,934x = 164,180,556,864
  5. Step 5: Solve for x
    x = 164,180,556,864/194,934
  6. Step 6: Final answer
    x = 842,236.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.