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Finding the Third Proportional to 235,084.50 and 306,240.75

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Solution

The third proportional to 235,084.50 and 306,240.75 is: 398,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,084.50 : 306,240.75 = 306,240.75 : x
  2. Step 2: Convert to fraction form
    235,084.50/306,240.75 = 306,240.75/x
  3. Step 3: Cross multiply
    235,084.50x = 306,240.75 × 306,240.75
  4. Step 4: Simplify right side
    235,084.50x = 93,783,396,960.56
  5. Step 5: Solve for x
    x = 93,783,396,960.56/235,084.50
  6. Step 6: Final answer
    x = 398,934.84

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.