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Finding the Third Proportional to 207,846 and 315,049.50

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Solution

The third proportional to 207,846 and 315,049.50 is: 477,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,846 : 315,049.50 = 315,049.50 : x
  2. Step 2: Convert to fraction form
    207,846/315,049.50 = 315,049.50/x
  3. Step 3: Cross multiply
    207,846x = 315,049.50 × 315,049.50
  4. Step 4: Simplify right side
    207,846x = 99,256,187,450.25
  5. Step 5: Solve for x
    x = 99,256,187,450.25/207,846
  6. Step 6: Final answer
    x = 477,546.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.