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Finding the Third Proportional to 159,091 and 222,994

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Solution

The third proportional to 159,091 and 222,994 is: 312,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,091 : 222,994 = 222,994 : x
  2. Step 2: Convert to fraction form
    159,091/222,994 = 222,994/x
  3. Step 3: Cross multiply
    159,091x = 222,994 × 222,994
  4. Step 4: Simplify right side
    159,091x = 49,726,324,036
  5. Step 5: Solve for x
    x = 49,726,324,036/159,091
  6. Step 6: Final answer
    x = 312,565.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.