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Finding the Third Proportional to 251,180.25 and 351,340.50

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Solution

The third proportional to 251,180.25 and 351,340.50 is: 491,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,180.25 : 351,340.50 = 351,340.50 : x
  2. Step 2: Convert to fraction form
    251,180.25/351,340.50 = 351,340.50/x
  3. Step 3: Cross multiply
    251,180.25x = 351,340.50 × 351,340.50
  4. Step 4: Simplify right side
    251,180.25x = 123,440,146,940.25
  5. Step 5: Solve for x
    x = 123,440,146,940.25/251,180.25
  6. Step 6: Final answer
    x = 491,440.50

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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.