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Finding the Third Proportional to 190,347 and 267,813.38

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Solution

The third proportional to 190,347 and 267,813.38 is: 376,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,347 : 267,813.38 = 267,813.38 : x
  2. Step 2: Convert to fraction form
    190,347/267,813.38 = 267,813.38/x
  3. Step 3: Cross multiply
    190,347x = 267,813.38 × 267,813.38
  4. Step 4: Simplify right side
    190,347x = 71,724,003,828.89
  5. Step 5: Solve for x
    x = 71,724,003,828.89/190,347
  6. Step 6: Final answer
    x = 376,806.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.