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Finding the Third Proportional to 168,039 and 351,656

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Solution

The third proportional to 168,039 and 351,656 is: 735,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,039 : 351,656 = 351,656 : x
  2. Step 2: Convert to fraction form
    168,039/351,656 = 351,656/x
  3. Step 3: Cross multiply
    168,039x = 351,656 × 351,656
  4. Step 4: Simplify right side
    168,039x = 123,661,942,336
  5. Step 5: Solve for x
    x = 123,661,942,336/168,039
  6. Step 6: Final answer
    x = 735,912.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.