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Finding the Third Proportional to 231,738 and 350,876

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Solution

The third proportional to 231,738 and 350,876 is: 531,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,738 : 350,876 = 350,876 : x
  2. Step 2: Convert to fraction form
    231,738/350,876 = 350,876/x
  3. Step 3: Cross multiply
    231,738x = 350,876 × 350,876
  4. Step 4: Simplify right side
    231,738x = 123,113,967,376
  5. Step 5: Solve for x
    x = 123,113,967,376/231,738
  6. Step 6: Final answer
    x = 531,263.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.