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Finding the Third Proportional to 168,183 and 351,942

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Solution

The third proportional to 168,183 and 351,942 is: 736,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,183 : 351,942 = 351,942 : x
  2. Step 2: Convert to fraction form
    168,183/351,942 = 351,942/x
  3. Step 3: Cross multiply
    168,183x = 351,942 × 351,942
  4. Step 4: Simplify right side
    168,183x = 123,863,171,364
  5. Step 5: Solve for x
    x = 123,863,171,364/168,183
  6. Step 6: Final answer
    x = 736,478.55

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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.