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Finding the Third Proportional to 251,167.50 and 351,321.75

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Solution

The third proportional to 251,167.50 and 351,321.75 is: 491,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,167.50 : 351,321.75 = 351,321.75 : x
  2. Step 2: Convert to fraction form
    251,167.50/351,321.75 = 351,321.75/x
  3. Step 3: Cross multiply
    251,167.50x = 351,321.75 × 351,321.75
  4. Step 4: Simplify right side
    251,167.50x = 123,426,972,023.06
  5. Step 5: Solve for x
    x = 123,426,972,023.06/251,167.50
  6. Step 6: Final answer
    x = 491,412.99

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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.