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Finding the Third Proportional to 171,828 and 259,632

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Solution

The third proportional to 171,828 and 259,632 is: 392,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,828 : 259,632 = 259,632 : x
  2. Step 2: Convert to fraction form
    171,828/259,632 = 259,632/x
  3. Step 3: Cross multiply
    171,828x = 259,632 × 259,632
  4. Step 4: Simplify right side
    171,828x = 67,408,775,424
  5. Step 5: Solve for x
    x = 67,408,775,424/171,828
  6. Step 6: Final answer
    x = 392,303.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.