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Finding the Third Proportional to 136.69 and 300.43

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Solution

The third proportional to 136.69 and 300.43 is: 660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.69 : 300.43 = 300.43 : x
  2. Step 2: Convert to fraction form
    136.69/300.43 = 300.43/x
  3. Step 3: Cross multiply
    136.69x = 300.43 × 300.43
  4. Step 4: Simplify right side
    136.69x = 90,256.82
  5. Step 5: Solve for x
    x = 90,256.82/136.69
  6. Step 6: Final answer
    x = 660.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.