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Finding the Third Proportional to 136.69 and 204.61

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Solution

The third proportional to 136.69 and 204.61 is: 306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.69 : 204.61 = 204.61 : x
  2. Step 2: Convert to fraction form
    136.69/204.61 = 204.61/x
  3. Step 3: Cross multiply
    136.69x = 204.61 × 204.61
  4. Step 4: Simplify right side
    136.69x = 41,865.00
  5. Step 5: Solve for x
    x = 41,865.00/136.69
  6. Step 6: Final answer
    x = 306.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.