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Finding the Third Proportional to 169,992 and 255,393

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Solution

The third proportional to 169,992 and 255,393 is: 383,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,992 : 255,393 = 255,393 : x
  2. Step 2: Convert to fraction form
    169,992/255,393 = 255,393/x
  3. Step 3: Cross multiply
    169,992x = 255,393 × 255,393
  4. Step 4: Simplify right side
    169,992x = 65,225,584,449
  5. Step 5: Solve for x
    x = 65,225,584,449/169,992
  6. Step 6: Final answer
    x = 383,697.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.