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Finding the Third Proportional to 135,771.19 and 306,159.75

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Solution

The third proportional to 135,771.19 and 306,159.75 is: 690,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,771.19 : 306,159.75 = 306,159.75 : x
  2. Step 2: Convert to fraction form
    135,771.19/306,159.75 = 306,159.75/x
  3. Step 3: Cross multiply
    135,771.19x = 306,159.75 × 306,159.75
  4. Step 4: Simplify right side
    135,771.19x = 93,733,792,520.06
  5. Step 5: Solve for x
    x = 93,733,792,520.06/135,771.19
  6. Step 6: Final answer
    x = 690,380.59

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.