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Finding the Third Proportional to 135,933.19 and 295,238.67

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Solution

The third proportional to 135,933.19 and 295,238.67 is: 641,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,933.19 : 295,238.67 = 295,238.67 : x
  2. Step 2: Convert to fraction form
    135,933.19/295,238.67 = 295,238.67/x
  3. Step 3: Cross multiply
    135,933.19x = 295,238.67 × 295,238.67
  4. Step 4: Simplify right side
    135,933.19x = 87,165,873,370.51
  5. Step 5: Solve for x
    x = 87,165,873,370.51/135,933.19
  6. Step 6: Final answer
    x = 641,240.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.