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Finding the Third Proportional to 203,744 and 454,144

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Solution

The third proportional to 203,744 and 454,144 is: 1,012,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,744 : 454,144 = 454,144 : x
  2. Step 2: Convert to fraction form
    203,744/454,144 = 454,144/x
  3. Step 3: Cross multiply
    203,744x = 454,144 × 454,144
  4. Step 4: Simplify right side
    203,744x = 206,246,772,736
  5. Step 5: Solve for x
    x = 206,246,772,736/203,744
  6. Step 6: Final answer
    x = 1,012,283.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.