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Finding the Third Proportional to 150,348 and 330,456

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Solution

The third proportional to 150,348 and 330,456 is: 726,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,348 : 330,456 = 330,456 : x
  2. Step 2: Convert to fraction form
    150,348/330,456 = 330,456/x
  3. Step 3: Cross multiply
    150,348x = 330,456 × 330,456
  4. Step 4: Simplify right side
    150,348x = 109,201,167,936
  5. Step 5: Solve for x
    x = 109,201,167,936/150,348
  6. Step 6: Final answer
    x = 726,322.72

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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.