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Finding the Third Proportional to 251,185.50 and 351,348.50

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Solution

The third proportional to 251,185.50 and 351,348.50 is: 491,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,185.50 : 351,348.50 = 351,348.50 : x
  2. Step 2: Convert to fraction form
    251,185.50/351,348.50 = 351,348.50/x
  3. Step 3: Cross multiply
    251,185.50x = 351,348.50 × 351,348.50
  4. Step 4: Simplify right side
    251,185.50x = 123,445,768,452.25
  5. Step 5: Solve for x
    x = 123,445,768,452.25/251,185.50
  6. Step 6: Final answer
    x = 491,452.61

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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.