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Finding the Third Proportional to 207,227.63 and 311,610.75

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Solution

The third proportional to 207,227.63 and 311,610.75 is: 468,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,227.63 : 311,610.75 = 311,610.75 : x
  2. Step 2: Convert to fraction form
    207,227.63/311,610.75 = 311,610.75/x
  3. Step 3: Cross multiply
    207,227.63x = 311,610.75 × 311,610.75
  4. Step 4: Simplify right side
    207,227.63x = 97,101,259,515.56
  5. Step 5: Solve for x
    x = 97,101,259,515.56/207,227.63
  6. Step 6: Final answer
    x = 468,572.95

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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.