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Finding the Third Proportional to 150,846 and 221,337

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Solution

The third proportional to 150,846 and 221,337 is: 324,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,846 : 221,337 = 221,337 : x
  2. Step 2: Convert to fraction form
    150,846/221,337 = 221,337/x
  3. Step 3: Cross multiply
    150,846x = 221,337 × 221,337
  4. Step 4: Simplify right side
    150,846x = 48,990,067,569
  5. Step 5: Solve for x
    x = 48,990,067,569/150,846
  6. Step 6: Final answer
    x = 324,768.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.