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Finding the Third Proportional to 203,892 and 447,144

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Solution

The third proportional to 203,892 and 447,144 is: 980,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,892 : 447,144 = 447,144 : x
  2. Step 2: Convert to fraction form
    203,892/447,144 = 447,144/x
  3. Step 3: Cross multiply
    203,892x = 447,144 × 447,144
  4. Step 4: Simplify right side
    203,892x = 199,937,756,736
  5. Step 5: Solve for x
    x = 199,937,756,736/203,892
  6. Step 6: Final answer
    x = 980,606.19

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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.