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Finding the Third Proportional to 150,882 and 319,750

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Solution

The third proportional to 150,882 and 319,750 is: 677,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,882 : 319,750 = 319,750 : x
  2. Step 2: Convert to fraction form
    150,882/319,750 = 319,750/x
  3. Step 3: Cross multiply
    150,882x = 319,750 × 319,750
  4. Step 4: Simplify right side
    150,882x = 102,240,062,500
  5. Step 5: Solve for x
    x = 102,240,062,500/150,882
  6. Step 6: Final answer
    x = 677,616.03

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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.