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Finding the Third Proportional to 168,990 and 371,022

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Solution

The third proportional to 168,990 and 371,022 is: 814,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,990 : 371,022 = 371,022 : x
  2. Step 2: Convert to fraction form
    168,990/371,022 = 371,022/x
  3. Step 3: Cross multiply
    168,990x = 371,022 × 371,022
  4. Step 4: Simplify right side
    168,990x = 137,657,324,484
  5. Step 5: Solve for x
    x = 137,657,324,484/168,990
  6. Step 6: Final answer
    x = 814,588.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.