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Finding the Third Proportional to 192,344 and 419,648

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Solution

The third proportional to 192,344 and 419,648 is: 915,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,344 : 419,648 = 419,648 : x
  2. Step 2: Convert to fraction form
    192,344/419,648 = 419,648/x
  3. Step 3: Cross multiply
    192,344x = 419,648 × 419,648
  4. Step 4: Simplify right side
    192,344x = 176,104,443,904
  5. Step 5: Solve for x
    x = 176,104,443,904/192,344
  6. Step 6: Final answer
    x = 915,570.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.