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Finding the Third Proportional to 136.38 and 281.94

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Solution

The third proportional to 136.38 and 281.94 is: 582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.38 : 281.94 = 281.94 : x
  2. Step 2: Convert to fraction form
    136.38/281.94 = 281.94/x
  3. Step 3: Cross multiply
    136.38x = 281.94 × 281.94
  4. Step 4: Simplify right side
    136.38x = 79,488.75
  5. Step 5: Solve for x
    x = 79,488.75/136.38
  6. Step 6: Final answer
    x = 582.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.