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Finding the Third Proportional to 192,001 and 254,777

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Solution

The third proportional to 192,001 and 254,777 is: 338,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,001 : 254,777 = 254,777 : x
  2. Step 2: Convert to fraction form
    192,001/254,777 = 254,777/x
  3. Step 3: Cross multiply
    192,001x = 254,777 × 254,777
  4. Step 4: Simplify right side
    192,001x = 64,911,319,729
  5. Step 5: Solve for x
    x = 64,911,319,729/192,001
  6. Step 6: Final answer
    x = 338,078.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.