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Finding the Third Proportional to 194,016 and 417,696

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Solution

The third proportional to 194,016 and 417,696 is: 899,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,016 : 417,696 = 417,696 : x
  2. Step 2: Convert to fraction form
    194,016/417,696 = 417,696/x
  3. Step 3: Cross multiply
    194,016x = 417,696 × 417,696
  4. Step 4: Simplify right side
    194,016x = 174,469,948,416
  5. Step 5: Solve for x
    x = 174,469,948,416/194,016
  6. Step 6: Final answer
    x = 899,255.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.