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Finding the Third Proportional to 154,844 and 231,662

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Solution

The third proportional to 154,844 and 231,662 is: 346,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,844 : 231,662 = 231,662 : x
  2. Step 2: Convert to fraction form
    154,844/231,662 = 231,662/x
  3. Step 3: Cross multiply
    154,844x = 231,662 × 231,662
  4. Step 4: Simplify right side
    154,844x = 53,667,282,244
  5. Step 5: Solve for x
    x = 53,667,282,244/154,844
  6. Step 6: Final answer
    x = 346,589.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.