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Finding the Third Proportional to 150,968 and 319,916

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Solution

The third proportional to 150,968 and 319,916 is: 677,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,968 : 319,916 = 319,916 : x
  2. Step 2: Convert to fraction form
    150,968/319,916 = 319,916/x
  3. Step 3: Cross multiply
    150,968x = 319,916 × 319,916
  4. Step 4: Simplify right side
    150,968x = 102,346,247,056
  5. Step 5: Solve for x
    x = 102,346,247,056/150,968
  6. Step 6: Final answer
    x = 677,933.38

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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.