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Finding the Third Proportional to 267,436.50 and 364,246.13

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Solution

The third proportional to 267,436.50 and 364,246.13 is: 496,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,436.50 : 364,246.13 = 364,246.13 : x
  2. Step 2: Convert to fraction form
    267,436.50/364,246.13 = 364,246.13/x
  3. Step 3: Cross multiply
    267,436.50x = 364,246.13 × 364,246.13
  4. Step 4: Simplify right side
    267,436.50x = 132,675,239,577.52
  5. Step 5: Solve for x
    x = 132,675,239,577.52/267,436.50
  6. Step 6: Final answer
    x = 496,099.97

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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.