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Finding the Third Proportional to 136.41 and 268.31

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Solution

The third proportional to 136.41 and 268.31 is: 527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.41 : 268.31 = 268.31 : x
  2. Step 2: Convert to fraction form
    136.41/268.31 = 268.31/x
  3. Step 3: Cross multiply
    136.41x = 268.31 × 268.31
  4. Step 4: Simplify right side
    136.41x = 71,991.60
  5. Step 5: Solve for x
    x = 71,991.60/136.41
  6. Step 6: Final answer
    x = 527.77

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.