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Finding the Third Proportional to 203,265 and 301,947

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Solution

The third proportional to 203,265 and 301,947 is: 448,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,265 : 301,947 = 301,947 : x
  2. Step 2: Convert to fraction form
    203,265/301,947 = 301,947/x
  3. Step 3: Cross multiply
    203,265x = 301,947 × 301,947
  4. Step 4: Simplify right side
    203,265x = 91,171,990,809
  5. Step 5: Solve for x
    x = 91,171,990,809/203,265
  6. Step 6: Final answer
    x = 448,537.58

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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.