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Finding the Third Proportional to 267,583.50 and 366,933.38

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Solution

The third proportional to 267,583.50 and 366,933.38 is: 503,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,583.50 : 366,933.38 = 366,933.38 : x
  2. Step 2: Convert to fraction form
    267,583.50/366,933.38 = 366,933.38/x
  3. Step 3: Cross multiply
    267,583.50x = 366,933.38 × 366,933.38
  4. Step 4: Simplify right side
    267,583.50x = 134,640,101,688.89
  5. Step 5: Solve for x
    x = 134,640,101,688.89/267,583.50
  6. Step 6: Final answer
    x = 503,170.42

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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.