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Finding the Third Proportional to 193,885 and 410,126

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Solution

The third proportional to 193,885 and 410,126 is: 867,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,885 : 410,126 = 410,126 : x
  2. Step 2: Convert to fraction form
    193,885/410,126 = 410,126/x
  3. Step 3: Cross multiply
    193,885x = 410,126 × 410,126
  4. Step 4: Simplify right side
    193,885x = 168,203,335,876
  5. Step 5: Solve for x
    x = 168,203,335,876/193,885
  6. Step 6: Final answer
    x = 867,541.77

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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.