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Finding the Third Proportional to 204,538 and 313,948

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Solution

The third proportional to 204,538 and 313,948 is: 481,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,538 : 313,948 = 313,948 : x
  2. Step 2: Convert to fraction form
    204,538/313,948 = 313,948/x
  3. Step 3: Cross multiply
    204,538x = 313,948 × 313,948
  4. Step 4: Simplify right side
    204,538x = 98,563,346,704
  5. Step 5: Solve for x
    x = 98,563,346,704/204,538
  6. Step 6: Final answer
    x = 481,882.81

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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.