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Finding the Third Proportional to 207,697.50 and 311,199.75

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Solution

The third proportional to 207,697.50 and 311,199.75 is: 466,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,697.50 : 311,199.75 = 311,199.75 : x
  2. Step 2: Convert to fraction form
    207,697.50/311,199.75 = 311,199.75/x
  3. Step 3: Cross multiply
    207,697.50x = 311,199.75 × 311,199.75
  4. Step 4: Simplify right side
    207,697.50x = 96,845,284,400.06
  5. Step 5: Solve for x
    x = 96,845,284,400.06/207,697.50
  6. Step 6: Final answer
    x = 466,280.45

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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.