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Finding the Third Proportional to 176,790 and 267,753

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Solution

The third proportional to 176,790 and 267,753 is: 405,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,790 : 267,753 = 267,753 : x
  2. Step 2: Convert to fraction form
    176,790/267,753 = 267,753/x
  3. Step 3: Cross multiply
    176,790x = 267,753 × 267,753
  4. Step 4: Simplify right side
    176,790x = 71,691,669,009
  5. Step 5: Solve for x
    x = 71,691,669,009/176,790
  6. Step 6: Final answer
    x = 405,518.80

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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.