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Finding the Third Proportional to 101,337 and 225,975

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Solution

The third proportional to 101,337 and 225,975 is: 503,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,337 : 225,975 = 225,975 : x
  2. Step 2: Convert to fraction form
    101,337/225,975 = 225,975/x
  3. Step 3: Cross multiply
    101,337x = 225,975 × 225,975
  4. Step 4: Simplify right side
    101,337x = 51,064,700,625
  5. Step 5: Solve for x
    x = 51,064,700,625/101,337
  6. Step 6: Final answer
    x = 503,909.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.