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Finding the Third Proportional to 143,016.75 and 194,234.63

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Solution

The third proportional to 143,016.75 and 194,234.63 is: 263,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,016.75 : 194,234.63 = 194,234.63 : x
  2. Step 2: Convert to fraction form
    143,016.75/194,234.63 = 194,234.63/x
  3. Step 3: Cross multiply
    143,016.75x = 194,234.63 × 194,234.63
  4. Step 4: Simplify right side
    143,016.75x = 37,727,089,548.89
  5. Step 5: Solve for x
    x = 37,727,089,548.89/143,016.75
  6. Step 6: Final answer
    x = 263,794.90

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.