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Finding the Third Proportional to 267,846.75 and 363,767.63

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Solution

The third proportional to 267,846.75 and 363,767.63 is: 494,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,846.75 : 363,767.63 = 363,767.63 : x
  2. Step 2: Convert to fraction form
    267,846.75/363,767.63 = 363,767.63/x
  3. Step 3: Cross multiply
    267,846.75x = 363,767.63 × 363,767.63
  4. Step 4: Simplify right side
    267,846.75x = 132,326,884,998.14
  5. Step 5: Solve for x
    x = 132,326,884,998.14/267,846.75
  6. Step 6: Final answer
    x = 494,039.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.