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Finding the Third Proportional to 118.78 and 183.84

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Solution

The third proportional to 118.78 and 183.84 is: 284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.78 : 183.84 = 183.84 : x
  2. Step 2: Convert to fraction form
    118.78/183.84 = 183.84/x
  3. Step 3: Cross multiply
    118.78x = 183.84 × 183.84
  4. Step 4: Simplify right side
    118.78x = 33,798.52
  5. Step 5: Solve for x
    x = 33,798.52/118.78
  6. Step 6: Final answer
    x = 284.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.