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Finding the Third Proportional to 170,882 and 374,670

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Solution

The third proportional to 170,882 and 374,670 is: 821,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,882 : 374,670 = 374,670 : x
  2. Step 2: Convert to fraction form
    170,882/374,670 = 374,670/x
  3. Step 3: Cross multiply
    170,882x = 374,670 × 374,670
  4. Step 4: Simplify right side
    170,882x = 140,377,608,900
  5. Step 5: Solve for x
    x = 140,377,608,900/170,882
  6. Step 6: Final answer
    x = 821,488.56

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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.