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Finding the Third Proportional to 131,959.13 and 311,200.31

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Solution

The third proportional to 131,959.13 and 311,200.31 is: 733,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,959.13 : 311,200.31 = 311,200.31 : x
  2. Step 2: Convert to fraction form
    131,959.13/311,200.31 = 311,200.31/x
  3. Step 3: Cross multiply
    131,959.13x = 311,200.31 × 311,200.31
  4. Step 4: Simplify right side
    131,959.13x = 96,845,634,500.10
  5. Step 5: Solve for x
    x = 96,845,634,500.10/131,959.13
  6. Step 6: Final answer
    x = 733,906.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.