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Finding the Third Proportional to 150,519 and 326,949

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Solution

The third proportional to 150,519 and 326,949 is: 710,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,519 : 326,949 = 326,949 : x
  2. Step 2: Convert to fraction form
    150,519/326,949 = 326,949/x
  3. Step 3: Cross multiply
    150,519x = 326,949 × 326,949
  4. Step 4: Simplify right side
    150,519x = 106,895,648,601
  5. Step 5: Solve for x
    x = 106,895,648,601/150,519
  6. Step 6: Final answer
    x = 710,180.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.