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Finding the Third Proportional to 150,427 and 330,374

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Solution

The third proportional to 150,427 and 330,374 is: 725,581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,427 : 330,374 = 330,374 : x
  2. Step 2: Convert to fraction form
    150,427/330,374 = 330,374/x
  3. Step 3: Cross multiply
    150,427x = 330,374 × 330,374
  4. Step 4: Simplify right side
    150,427x = 109,146,979,876
  5. Step 5: Solve for x
    x = 109,146,979,876/150,427
  6. Step 6: Final answer
    x = 725,581.05

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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.