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Finding the Third Proportional to 267,578.16 and 366,921.56

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Solution

The third proportional to 267,578.16 and 366,921.56 is: 503,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,578.16 : 366,921.56 = 366,921.56 : x
  2. Step 2: Convert to fraction form
    267,578.16/366,921.56 = 366,921.56/x
  3. Step 3: Cross multiply
    267,578.16x = 366,921.56 × 366,921.56
  4. Step 4: Simplify right side
    267,578.16x = 134,631,433,027.44
  5. Step 5: Solve for x
    x = 134,631,433,027.44/267,578.16
  6. Step 6: Final answer
    x = 503,148.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.