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Finding the Third Proportional to 188,406 and 404,109

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Solution

The third proportional to 188,406 and 404,109 is: 866,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,406 : 404,109 = 404,109 : x
  2. Step 2: Convert to fraction form
    188,406/404,109 = 404,109/x
  3. Step 3: Cross multiply
    188,406x = 404,109 × 404,109
  4. Step 4: Simplify right side
    188,406x = 163,304,083,881
  5. Step 5: Solve for x
    x = 163,304,083,881/188,406
  6. Step 6: Final answer
    x = 866,766.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.