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Finding the Third Proportional to 251,395.31 and 351,653.91

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Solution

The third proportional to 251,395.31 and 351,653.91 is: 491,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,395.31 : 351,653.91 = 351,653.91 : x
  2. Step 2: Convert to fraction form
    251,395.31/351,653.91 = 351,653.91/x
  3. Step 3: Cross multiply
    251,395.31x = 351,653.91 × 351,653.91
  4. Step 4: Simplify right side
    251,395.31x = 123,660,469,780.88
  5. Step 5: Solve for x
    x = 123,660,469,780.88/251,395.31
  6. Step 6: Final answer
    x = 491,896.48

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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.