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Finding the Third Proportional to 203,824 and 308,814

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Solution

The third proportional to 203,824 and 308,814 is: 467,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,824 : 308,814 = 308,814 : x
  2. Step 2: Convert to fraction form
    203,824/308,814 = 308,814/x
  3. Step 3: Cross multiply
    203,824x = 308,814 × 308,814
  4. Step 4: Simplify right side
    203,824x = 95,366,086,596
  5. Step 5: Solve for x
    x = 95,366,086,596/203,824
  6. Step 6: Final answer
    x = 467,884.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.