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Finding the Third Proportional to 171,990 and 367,522

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Solution

The third proportional to 171,990 and 367,522 is: 785,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,990 : 367,522 = 367,522 : x
  2. Step 2: Convert to fraction form
    171,990/367,522 = 367,522/x
  3. Step 3: Cross multiply
    171,990x = 367,522 × 367,522
  4. Step 4: Simplify right side
    171,990x = 135,072,420,484
  5. Step 5: Solve for x
    x = 135,072,420,484/171,990
  6. Step 6: Final answer
    x = 785,350.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.