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Finding the Third Proportional to 203,208.75 and 301,876.88

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Solution

The third proportional to 203,208.75 and 301,876.88 is: 448,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,208.75 : 301,876.88 = 301,876.88 : x
  2. Step 2: Convert to fraction form
    203,208.75/301,876.88 = 301,876.88/x
  3. Step 3: Cross multiply
    203,208.75x = 301,876.88 × 301,876.88
  4. Step 4: Simplify right side
    203,208.75x = 91,129,647,659.77
  5. Step 5: Solve for x
    x = 91,129,647,659.77/203,208.75
  6. Step 6: Final answer
    x = 448,453.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.