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Finding the Third Proportional to 136.94 and 223.56

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Solution

The third proportional to 136.94 and 223.56 is: 364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.94 : 223.56 = 223.56 : x
  2. Step 2: Convert to fraction form
    136.94/223.56 = 223.56/x
  3. Step 3: Cross multiply
    136.94x = 223.56 × 223.56
  4. Step 4: Simplify right side
    136.94x = 49,980.19
  5. Step 5: Solve for x
    x = 49,980.19/136.94
  6. Step 6: Final answer
    x = 364.99

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.