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Finding the Third Proportional to 170,759 and 374,733

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Solution

The third proportional to 170,759 and 374,733 is: 822,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,759 : 374,733 = 374,733 : x
  2. Step 2: Convert to fraction form
    170,759/374,733 = 374,733/x
  3. Step 3: Cross multiply
    170,759x = 374,733 × 374,733
  4. Step 4: Simplify right side
    170,759x = 140,424,821,289
  5. Step 5: Solve for x
    x = 140,424,821,289/170,759
  6. Step 6: Final answer
    x = 822,356.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.