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Finding the Third Proportional to 168,517 and 366,791

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Solution

The third proportional to 168,517 and 366,791 is: 798,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,517 : 366,791 = 366,791 : x
  2. Step 2: Convert to fraction form
    168,517/366,791 = 366,791/x
  3. Step 3: Cross multiply
    168,517x = 366,791 × 366,791
  4. Step 4: Simplify right side
    168,517x = 134,535,637,681
  5. Step 5: Solve for x
    x = 134,535,637,681/168,517
  6. Step 6: Final answer
    x = 798,350.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.