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Finding the Third Proportional to 267,903 and 363,836.25

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Solution

The third proportional to 267,903 and 363,836.25 is: 494,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,903 : 363,836.25 = 363,836.25 : x
  2. Step 2: Convert to fraction form
    267,903/363,836.25 = 363,836.25/x
  3. Step 3: Cross multiply
    267,903x = 363,836.25 × 363,836.25
  4. Step 4: Simplify right side
    267,903x = 132,376,816,814.06
  5. Step 5: Solve for x
    x = 132,376,816,814.06/267,903
  6. Step 6: Final answer
    x = 494,122.19

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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.