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Finding the Third Proportional to 203,198 and 439,804

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Solution

The third proportional to 203,198 and 439,804 is: 951,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,198 : 439,804 = 439,804 : x
  2. Step 2: Convert to fraction form
    203,198/439,804 = 439,804/x
  3. Step 3: Cross multiply
    203,198x = 439,804 × 439,804
  4. Step 4: Simplify right side
    203,198x = 193,427,558,416
  5. Step 5: Solve for x
    x = 193,427,558,416/203,198
  6. Step 6: Final answer
    x = 951,916.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.