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Finding the Third Proportional to 193,885 and 410,125

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Solution

The third proportional to 193,885 and 410,125 is: 867,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,885 : 410,125 = 410,125 : x
  2. Step 2: Convert to fraction form
    193,885/410,125 = 410,125/x
  3. Step 3: Cross multiply
    193,885x = 410,125 × 410,125
  4. Step 4: Simplify right side
    193,885x = 168,202,515,625
  5. Step 5: Solve for x
    x = 168,202,515,625/193,885
  6. Step 6: Final answer
    x = 867,537.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.