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Finding the Third Proportional to 193,920 and 404,444

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Solution

The third proportional to 193,920 and 404,444 is: 843,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,920 : 404,444 = 404,444 : x
  2. Step 2: Convert to fraction form
    193,920/404,444 = 404,444/x
  3. Step 3: Cross multiply
    193,920x = 404,444 × 404,444
  4. Step 4: Simplify right side
    193,920x = 163,574,949,136
  5. Step 5: Solve for x
    x = 163,574,949,136/193,920
  6. Step 6: Final answer
    x = 843,517.68

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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.