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Finding the Third Proportional to 190,600 and 267,755

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Solution

The third proportional to 190,600 and 267,755 is: 376,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,600 : 267,755 = 267,755 : x
  2. Step 2: Convert to fraction form
    190,600/267,755 = 267,755/x
  3. Step 3: Cross multiply
    190,600x = 267,755 × 267,755
  4. Step 4: Simplify right side
    190,600x = 71,692,740,025
  5. Step 5: Solve for x
    x = 71,692,740,025/190,600
  6. Step 6: Final answer
    x = 376,142.39

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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.