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Finding the Third Proportional to 251,036 and 351,126

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Solution

The third proportional to 251,036 and 351,126 is: 491,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,036 : 351,126 = 351,126 : x
  2. Step 2: Convert to fraction form
    251,036/351,126 = 351,126/x
  3. Step 3: Cross multiply
    251,036x = 351,126 × 351,126
  4. Step 4: Simplify right side
    251,036x = 123,289,467,876
  5. Step 5: Solve for x
    x = 123,289,467,876/251,036
  6. Step 6: Final answer
    x = 491,122.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.