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Finding the Third Proportional to 136.13 and 283.78

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Solution

The third proportional to 136.13 and 283.78 is: 591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.13 : 283.78 = 283.78 : x
  2. Step 2: Convert to fraction form
    136.13/283.78 = 283.78/x
  3. Step 3: Cross multiply
    136.13x = 283.78 × 283.78
  4. Step 4: Simplify right side
    136.13x = 80,531.80
  5. Step 5: Solve for x
    x = 80,531.80/136.13
  6. Step 6: Final answer
    x = 591.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.