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Finding the Third Proportional to 177,388 and 267,924

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Solution

The third proportional to 177,388 and 267,924 is: 404,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,388 : 267,924 = 267,924 : x
  2. Step 2: Convert to fraction form
    177,388/267,924 = 267,924/x
  3. Step 3: Cross multiply
    177,388x = 267,924 × 267,924
  4. Step 4: Simplify right side
    177,388x = 71,783,269,776
  5. Step 5: Solve for x
    x = 71,783,269,776/177,388
  6. Step 6: Final answer
    x = 404,668.13

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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.