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Finding the Third Proportional to 192,781 and 414,538

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Solution

The third proportional to 192,781 and 414,538 is: 891,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,781 : 414,538 = 414,538 : x
  2. Step 2: Convert to fraction form
    192,781/414,538 = 414,538/x
  3. Step 3: Cross multiply
    192,781x = 414,538 × 414,538
  4. Step 4: Simplify right side
    192,781x = 171,841,753,444
  5. Step 5: Solve for x
    x = 171,841,753,444/192,781
  6. Step 6: Final answer
    x = 891,383.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.