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Finding the Third Proportional to 118.94 and 248.84

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Solution

The third proportional to 118.94 and 248.84 is: 520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.94 : 248.84 = 248.84 : x
  2. Step 2: Convert to fraction form
    118.94/248.84 = 248.84/x
  3. Step 3: Cross multiply
    118.94x = 248.84 × 248.84
  4. Step 4: Simplify right side
    118.94x = 61,923.21
  5. Step 5: Solve for x
    x = 61,923.21/118.94
  6. Step 6: Final answer
    x = 520.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.