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Finding the Third Proportional to 173,892 and 381,036

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Solution

The third proportional to 173,892 and 381,036 is: 834,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,892 : 381,036 = 381,036 : x
  2. Step 2: Convert to fraction form
    173,892/381,036 = 381,036/x
  3. Step 3: Cross multiply
    173,892x = 381,036 × 381,036
  4. Step 4: Simplify right side
    173,892x = 145,188,433,296
  5. Step 5: Solve for x
    x = 145,188,433,296/173,892
  6. Step 6: Final answer
    x = 834,934.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.