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Finding the Third Proportional to 131,928.75 and 311,123.25

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Solution

The third proportional to 131,928.75 and 311,123.25 is: 733,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,928.75 : 311,123.25 = 311,123.25 : x
  2. Step 2: Convert to fraction form
    131,928.75/311,123.25 = 311,123.25/x
  3. Step 3: Cross multiply
    131,928.75x = 311,123.25 × 311,123.25
  4. Step 4: Simplify right side
    131,928.75x = 96,797,676,690.56
  5. Step 5: Solve for x
    x = 96,797,676,690.56/131,928.75
  6. Step 6: Final answer
    x = 733,711.77

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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.