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Finding the Third Proportional to 117,846 and 256,183

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Solution

The third proportional to 117,846 and 256,183 is: 556,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,846 : 256,183 = 256,183 : x
  2. Step 2: Convert to fraction form
    117,846/256,183 = 256,183/x
  3. Step 3: Cross multiply
    117,846x = 256,183 × 256,183
  4. Step 4: Simplify right side
    117,846x = 65,629,729,489
  5. Step 5: Solve for x
    x = 65,629,729,489/117,846
  6. Step 6: Final answer
    x = 556,910.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.