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Finding the Third Proportional to 193,181 and 407,338

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Solution

The third proportional to 193,181 and 407,338 is: 858,905.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,181 : 407,338 = 407,338 : x
  2. Step 2: Convert to fraction form
    193,181/407,338 = 407,338/x
  3. Step 3: Cross multiply
    193,181x = 407,338 × 407,338
  4. Step 4: Simplify right side
    193,181x = 165,924,246,244
  5. Step 5: Solve for x
    x = 165,924,246,244/193,181
  6. Step 6: Final answer
    x = 858,905.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.