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Finding the Third Proportional to 251,186.50 and 351,350

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Solution

The third proportional to 251,186.50 and 351,350 is: 491,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,186.50 : 351,350 = 351,350 : x
  2. Step 2: Convert to fraction form
    251,186.50/351,350 = 351,350/x
  3. Step 3: Cross multiply
    251,186.50x = 351,350 × 351,350
  4. Step 4: Simplify right side
    251,186.50x = 123,446,822,500
  5. Step 5: Solve for x
    x = 123,446,822,500/251,186.50
  6. Step 6: Final answer
    x = 491,454.85

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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.