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Finding the Third Proportional to 204,285 and 317,052

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Solution

The third proportional to 204,285 and 317,052 is: 492,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,285 : 317,052 = 317,052 : x
  2. Step 2: Convert to fraction form
    204,285/317,052 = 317,052/x
  3. Step 3: Cross multiply
    204,285x = 317,052 × 317,052
  4. Step 4: Simplify right side
    204,285x = 100,521,970,704
  5. Step 5: Solve for x
    x = 100,521,970,704/204,285
  6. Step 6: Final answer
    x = 492,067.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.