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Finding the Third Proportional to 150,904 and 319,797

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Solution

The third proportional to 150,904 and 319,797 is: 677,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,904 : 319,797 = 319,797 : x
  2. Step 2: Convert to fraction form
    150,904/319,797 = 319,797/x
  3. Step 3: Cross multiply
    150,904x = 319,797 × 319,797
  4. Step 4: Simplify right side
    150,904x = 102,270,121,209
  5. Step 5: Solve for x
    x = 102,270,121,209/150,904
  6. Step 6: Final answer
    x = 677,716.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.