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Finding the Third Proportional to 117,886 and 241,218

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Solution

The third proportional to 117,886 and 241,218 is: 493,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,886 : 241,218 = 241,218 : x
  2. Step 2: Convert to fraction form
    117,886/241,218 = 241,218/x
  3. Step 3: Cross multiply
    117,886x = 241,218 × 241,218
  4. Step 4: Simplify right side
    117,886x = 58,186,123,524
  5. Step 5: Solve for x
    x = 58,186,123,524/117,886
  6. Step 6: Final answer
    x = 493,579.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.