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Finding the Third Proportional to 150,336 and 349,569

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Solution

The third proportional to 150,336 and 349,569 is: 812,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,336 : 349,569 = 349,569 : x
  2. Step 2: Convert to fraction form
    150,336/349,569 = 349,569/x
  3. Step 3: Cross multiply
    150,336x = 349,569 × 349,569
  4. Step 4: Simplify right side
    150,336x = 122,198,485,761
  5. Step 5: Solve for x
    x = 122,198,485,761/150,336
  6. Step 6: Final answer
    x = 812,835.82

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.