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Finding the Third Proportional to 170,334 and 259,632

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Solution

The third proportional to 170,334 and 259,632 is: 395,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,334 : 259,632 = 259,632 : x
  2. Step 2: Convert to fraction form
    170,334/259,632 = 259,632/x
  3. Step 3: Cross multiply
    170,334x = 259,632 × 259,632
  4. Step 4: Simplify right side
    170,334x = 67,408,775,424
  5. Step 5: Solve for x
    x = 67,408,775,424/170,334
  6. Step 6: Final answer
    x = 395,744.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.