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Finding the Third Proportional to 186,198 and 404,796

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Solution

The third proportional to 186,198 and 404,796 is: 880,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,198 : 404,796 = 404,796 : x
  2. Step 2: Convert to fraction form
    186,198/404,796 = 404,796/x
  3. Step 3: Cross multiply
    186,198x = 404,796 × 404,796
  4. Step 4: Simplify right side
    186,198x = 163,859,801,616
  5. Step 5: Solve for x
    x = 163,859,801,616/186,198
  6. Step 6: Final answer
    x = 880,029.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.