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Finding the Third Proportional to 204,708 and 301,208

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Solution

The third proportional to 204,708 and 301,208 is: 443,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,708 : 301,208 = 301,208 : x
  2. Step 2: Convert to fraction form
    204,708/301,208 = 301,208/x
  3. Step 3: Cross multiply
    204,708x = 301,208 × 301,208
  4. Step 4: Simplify right side
    204,708x = 90,726,259,264
  5. Step 5: Solve for x
    x = 90,726,259,264/204,708
  6. Step 6: Final answer
    x = 443,198.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.