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Finding the Third Proportional to 203,976 and 274,824

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Solution

The third proportional to 203,976 and 274,824 is: 370,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,976 : 274,824 = 274,824 : x
  2. Step 2: Convert to fraction form
    203,976/274,824 = 274,824/x
  3. Step 3: Cross multiply
    203,976x = 274,824 × 274,824
  4. Step 4: Simplify right side
    203,976x = 75,528,230,976
  5. Step 5: Solve for x
    x = 75,528,230,976/203,976
  6. Step 6: Final answer
    x = 370,279.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.