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Finding the Third Proportional to 136.05 and 300.59

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Solution

The third proportional to 136.05 and 300.59 is: 664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.05 : 300.59 = 300.59 : x
  2. Step 2: Convert to fraction form
    136.05/300.59 = 300.59/x
  3. Step 3: Cross multiply
    136.05x = 300.59 × 300.59
  4. Step 4: Simplify right side
    136.05x = 90,351.91
  5. Step 5: Solve for x
    x = 90,351.91/136.05
  6. Step 6: Final answer
    x = 664.09

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.