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Finding the Third Proportional to 118.94 and 222.88

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Solution

The third proportional to 118.94 and 222.88 is: 417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.94 : 222.88 = 222.88 : x
  2. Step 2: Convert to fraction form
    118.94/222.88 = 222.88/x
  3. Step 3: Cross multiply
    118.94x = 222.88 × 222.88
  4. Step 4: Simplify right side
    118.94x = 49,673.27
  5. Step 5: Solve for x
    x = 49,673.27/118.94
  6. Step 6: Final answer
    x = 417.64

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.