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Finding the Third Proportional to 135,310.50 and 306,040.50

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Solution

The third proportional to 135,310.50 and 306,040.50 is: 692,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,310.50 : 306,040.50 = 306,040.50 : x
  2. Step 2: Convert to fraction form
    135,310.50/306,040.50 = 306,040.50/x
  3. Step 3: Cross multiply
    135,310.50x = 306,040.50 × 306,040.50
  4. Step 4: Simplify right side
    135,310.50x = 93,660,787,640.25
  5. Step 5: Solve for x
    x = 93,660,787,640.25/135,310.50
  6. Step 6: Final answer
    x = 692,191.57

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.