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Finding the Third Proportional to 150,328 and 349,564

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Solution

The third proportional to 150,328 and 349,564 is: 812,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,328 : 349,564 = 349,564 : x
  2. Step 2: Convert to fraction form
    150,328/349,564 = 349,564/x
  3. Step 3: Cross multiply
    150,328x = 349,564 × 349,564
  4. Step 4: Simplify right side
    150,328x = 122,194,990,096
  5. Step 5: Solve for x
    x = 122,194,990,096/150,328
  6. Step 6: Final answer
    x = 812,855.82

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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.