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Finding the Third Proportional to 150,508 and 329,000

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Solution

The third proportional to 150,508 and 329,000 is: 719,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,508 : 329,000 = 329,000 : x
  2. Step 2: Convert to fraction form
    150,508/329,000 = 329,000/x
  3. Step 3: Cross multiply
    150,508x = 329,000 × 329,000
  4. Step 4: Simplify right side
    150,508x = 108,241,000,000
  5. Step 5: Solve for x
    x = 108,241,000,000/150,508
  6. Step 6: Final answer
    x = 719,171.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.