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Finding the Third Proportional to 133,204 and 278,648

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Solution

The third proportional to 133,204 and 278,648 is: 582,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,204 : 278,648 = 278,648 : x
  2. Step 2: Convert to fraction form
    133,204/278,648 = 278,648/x
  3. Step 3: Cross multiply
    133,204x = 278,648 × 278,648
  4. Step 4: Simplify right side
    133,204x = 77,644,707,904
  5. Step 5: Solve for x
    x = 77,644,707,904/133,204
  6. Step 6: Final answer
    x = 582,900.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.