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Finding the Third Proportional to 135,228.23 and 209,378.67

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Solution

The third proportional to 135,228.23 and 209,378.67 is: 324,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,228.23 : 209,378.67 = 209,378.67 : x
  2. Step 2: Convert to fraction form
    135,228.23/209,378.67 = 209,378.67/x
  3. Step 3: Cross multiply
    135,228.23x = 209,378.67 × 209,378.67
  4. Step 4: Simplify right side
    135,228.23x = 43,839,428,236.14
  5. Step 5: Solve for x
    x = 43,839,428,236.14/135,228.23
  6. Step 6: Final answer
    x = 324,188.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.