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Finding the Third Proportional to 193,690 and 418,504

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Solution

The third proportional to 193,690 and 418,504 is: 904,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,690 : 418,504 = 418,504 : x
  2. Step 2: Convert to fraction form
    193,690/418,504 = 418,504/x
  3. Step 3: Cross multiply
    193,690x = 418,504 × 418,504
  4. Step 4: Simplify right side
    193,690x = 175,145,598,016
  5. Step 5: Solve for x
    x = 175,145,598,016/193,690
  6. Step 6: Final answer
    x = 904,257.31

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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.