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Finding the Third Proportional to 203,239 and 301,910.75

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Solution

The third proportional to 203,239 and 301,910.75 is: 448,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,239 : 301,910.75 = 301,910.75 : x
  2. Step 2: Convert to fraction form
    203,239/301,910.75 = 301,910.75/x
  3. Step 3: Cross multiply
    203,239x = 301,910.75 × 301,910.75
  4. Step 4: Simplify right side
    203,239x = 91,150,100,965.56
  5. Step 5: Solve for x
    x = 91,150,100,965.56/203,239
  6. Step 6: Final answer
    x = 448,487.25

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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.