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Finding the Third Proportional to 154,404 and 231,977.25

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Solution

The third proportional to 154,404 and 231,977.25 is: 348,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,404 : 231,977.25 = 231,977.25 : x
  2. Step 2: Convert to fraction form
    154,404/231,977.25 = 231,977.25/x
  3. Step 3: Cross multiply
    154,404x = 231,977.25 × 231,977.25
  4. Step 4: Simplify right side
    154,404x = 53,813,444,517.56
  5. Step 5: Solve for x
    x = 53,813,444,517.56/154,404
  6. Step 6: Final answer
    x = 348,523.64

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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.