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Finding the Third Proportional to 193,569 and 404,874

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Solution

The third proportional to 193,569 and 404,874 is: 846,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,569 : 404,874 = 404,874 : x
  2. Step 2: Convert to fraction form
    193,569/404,874 = 404,874/x
  3. Step 3: Cross multiply
    193,569x = 404,874 × 404,874
  4. Step 4: Simplify right side
    193,569x = 163,922,955,876
  5. Step 5: Solve for x
    x = 163,922,955,876/193,569
  6. Step 6: Final answer
    x = 846,845.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.