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Finding the Third Proportional to 118,764 and 283,824

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Solution

The third proportional to 118,764 and 283,824 is: 678,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,764 : 283,824 = 283,824 : x
  2. Step 2: Convert to fraction form
    118,764/283,824 = 283,824/x
  3. Step 3: Cross multiply
    118,764x = 283,824 × 283,824
  4. Step 4: Simplify right side
    118,764x = 80,556,062,976
  5. Step 5: Solve for x
    x = 80,556,062,976/118,764
  6. Step 6: Final answer
    x = 678,286.88

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.