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Finding the Third Proportional to 176,744 and 267,690

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Solution

The third proportional to 176,744 and 267,690 is: 405,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,744 : 267,690 = 267,690 : x
  2. Step 2: Convert to fraction form
    176,744/267,690 = 267,690/x
  3. Step 3: Cross multiply
    176,744x = 267,690 × 267,690
  4. Step 4: Simplify right side
    176,744x = 71,657,936,100
  5. Step 5: Solve for x
    x = 71,657,936,100/176,744
  6. Step 6: Final answer
    x = 405,433.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.