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Finding the Third Proportional to 177,892 and 260,175

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Solution

The third proportional to 177,892 and 260,175 is: 380,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,892 : 260,175 = 260,175 : x
  2. Step 2: Convert to fraction form
    177,892/260,175 = 260,175/x
  3. Step 3: Cross multiply
    177,892x = 260,175 × 260,175
  4. Step 4: Simplify right side
    177,892x = 67,691,030,625
  5. Step 5: Solve for x
    x = 67,691,030,625/177,892
  6. Step 6: Final answer
    x = 380,517.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.