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Finding the Third Proportional to 251,174.25 and 376,806.94

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Solution

The third proportional to 251,174.25 and 376,806.94 is: 565,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,174.25 : 376,806.94 = 376,806.94 : x
  2. Step 2: Convert to fraction form
    251,174.25/376,806.94 = 376,806.94/x
  3. Step 3: Cross multiply
    251,174.25x = 376,806.94 × 376,806.94
  4. Step 4: Simplify right side
    251,174.25x = 141,983,468,148.13
  5. Step 5: Solve for x
    x = 141,983,468,148.13/251,174.25
  6. Step 6: Final answer
    x = 565,278.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.