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Finding the Third Proportional to 211,198 and 439,870

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Solution

The third proportional to 211,198 and 439,870 is: 916,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,198 : 439,870 = 439,870 : x
  2. Step 2: Convert to fraction form
    211,198/439,870 = 439,870/x
  3. Step 3: Cross multiply
    211,198x = 439,870 × 439,870
  4. Step 4: Simplify right side
    211,198x = 193,485,616,900
  5. Step 5: Solve for x
    x = 193,485,616,900/211,198
  6. Step 6: Final answer
    x = 916,133.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.