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Finding the Third Proportional to 187,544 and 404,680

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Solution

The third proportional to 187,544 and 404,680 is: 873,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,544 : 404,680 = 404,680 : x
  2. Step 2: Convert to fraction form
    187,544/404,680 = 404,680/x
  3. Step 3: Cross multiply
    187,544x = 404,680 × 404,680
  4. Step 4: Simplify right side
    187,544x = 163,765,902,400
  5. Step 5: Solve for x
    x = 163,765,902,400/187,544
  6. Step 6: Final answer
    x = 873,213.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.