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Finding the Third Proportional to 192,156.75 and 305,342.44

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Solution

The third proportional to 192,156.75 and 305,342.44 is: 485,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,156.75 : 305,342.44 = 305,342.44 : x
  2. Step 2: Convert to fraction form
    192,156.75/305,342.44 = 305,342.44/x
  3. Step 3: Cross multiply
    192,156.75x = 305,342.44 × 305,342.44
  4. Step 4: Simplify right side
    192,156.75x = 93,234,004,138.44
  5. Step 5: Solve for x
    x = 93,234,004,138.44/192,156.75
  6. Step 6: Final answer
    x = 485,197.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.