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Finding the Third Proportional to 176,717 and 267,647

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Solution

The third proportional to 176,717 and 267,647 is: 405,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,717 : 267,647 = 267,647 : x
  2. Step 2: Convert to fraction form
    176,717/267,647 = 267,647/x
  3. Step 3: Cross multiply
    176,717x = 267,647 × 267,647
  4. Step 4: Simplify right side
    176,717x = 71,634,916,609
  5. Step 5: Solve for x
    x = 71,634,916,609/176,717
  6. Step 6: Final answer
    x = 405,365.17

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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.