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Finding the Third Proportional to 264,000 and 350,067

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Solution

The third proportional to 264,000 and 350,067 is: 464,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,000 : 350,067 = 350,067 : x
  2. Step 2: Convert to fraction form
    264,000/350,067 = 350,067/x
  3. Step 3: Cross multiply
    264,000x = 350,067 × 350,067
  4. Step 4: Simplify right side
    264,000x = 122,546,904,489
  5. Step 5: Solve for x
    x = 122,546,904,489/264,000
  6. Step 6: Final answer
    x = 464,192.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.