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Finding the Third Proportional to 190,554 and 267,615

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Solution

The third proportional to 190,554 and 267,615 is: 375,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,554 : 267,615 = 267,615 : x
  2. Step 2: Convert to fraction form
    190,554/267,615 = 267,615/x
  3. Step 3: Cross multiply
    190,554x = 267,615 × 267,615
  4. Step 4: Simplify right side
    190,554x = 71,617,788,225
  5. Step 5: Solve for x
    x = 71,617,788,225/190,554
  6. Step 6: Final answer
    x = 375,839.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.