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Finding the Third Proportional to 170,849 and 262,965

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Solution

The third proportional to 170,849 and 262,965 is: 404,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,849 : 262,965 = 262,965 : x
  2. Step 2: Convert to fraction form
    170,849/262,965 = 262,965/x
  3. Step 3: Cross multiply
    170,849x = 262,965 × 262,965
  4. Step 4: Simplify right side
    170,849x = 69,150,591,225
  5. Step 5: Solve for x
    x = 69,150,591,225/170,849
  6. Step 6: Final answer
    x = 404,746.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.