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Finding the Third Proportional to 150,432 and 330,390

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Solution

The third proportional to 150,432 and 330,390 is: 725,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,432 : 330,390 = 330,390 : x
  2. Step 2: Convert to fraction form
    150,432/330,390 = 330,390/x
  3. Step 3: Cross multiply
    150,432x = 330,390 × 330,390
  4. Step 4: Simplify right side
    150,432x = 109,157,552,100
  5. Step 5: Solve for x
    x = 109,157,552,100/150,432
  6. Step 6: Final answer
    x = 725,627.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.