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Finding the Third Proportional to 131,820.75 and 311,049.75

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Solution

The third proportional to 131,820.75 and 311,049.75 is: 733,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,820.75 : 311,049.75 = 311,049.75 : x
  2. Step 2: Convert to fraction form
    131,820.75/311,049.75 = 311,049.75/x
  3. Step 3: Cross multiply
    131,820.75x = 311,049.75 × 311,049.75
  4. Step 4: Simplify right side
    131,820.75x = 96,751,946,975.06
  5. Step 5: Solve for x
    x = 96,751,946,975.06/131,820.75
  6. Step 6: Final answer
    x = 733,965.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.