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Finding the Third Proportional to 251,174.25 and 351,331.88

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Solution

The third proportional to 251,174.25 and 351,331.88 is: 491,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,174.25 : 351,331.88 = 351,331.88 : x
  2. Step 2: Convert to fraction form
    251,174.25/351,331.88 = 351,331.88/x
  3. Step 3: Cross multiply
    251,174.25x = 351,331.88 × 351,331.88
  4. Step 4: Simplify right side
    251,174.25x = 123,434,086,391.02
  5. Step 5: Solve for x
    x = 123,434,086,391.02/251,174.25
  6. Step 6: Final answer
    x = 491,428.11

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Why These Related Problems?

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