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Finding the Third Proportional to 204,422 and 313,775

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Solution

The third proportional to 204,422 and 313,775 is: 481,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,422 : 313,775 = 313,775 : x
  2. Step 2: Convert to fraction form
    204,422/313,775 = 313,775/x
  3. Step 3: Cross multiply
    204,422x = 313,775 × 313,775
  4. Step 4: Simplify right side
    204,422x = 98,454,750,625
  5. Step 5: Solve for x
    x = 98,454,750,625/204,422
  6. Step 6: Final answer
    x = 481,625.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.