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Finding the Third Proportional to 177,434 and 267,994

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Solution

The third proportional to 177,434 and 267,994 is: 404,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,434 : 267,994 = 267,994 : x
  2. Step 2: Convert to fraction form
    177,434/267,994 = 267,994/x
  3. Step 3: Cross multiply
    177,434x = 267,994 × 267,994
  4. Step 4: Simplify right side
    177,434x = 71,820,784,036
  5. Step 5: Solve for x
    x = 71,820,784,036/177,434
  6. Step 6: Final answer
    x = 404,774.64

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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.