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Finding the Third Proportional to 203,208 and 301,869

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Solution

The third proportional to 203,208 and 301,869 is: 448,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,208 : 301,869 = 301,869 : x
  2. Step 2: Convert to fraction form
    203,208/301,869 = 301,869/x
  3. Step 3: Cross multiply
    203,208x = 301,869 × 301,869
  4. Step 4: Simplify right side
    203,208x = 91,124,893,161
  5. Step 5: Solve for x
    x = 91,124,893,161/203,208
  6. Step 6: Final answer
    x = 448,431.62

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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.