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Finding the Third Proportional to 180,796 and 267,504

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Solution

The third proportional to 180,796 and 267,504 is: 395,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,796 : 267,504 = 267,504 : x
  2. Step 2: Convert to fraction form
    180,796/267,504 = 267,504/x
  3. Step 3: Cross multiply
    180,796x = 267,504 × 267,504
  4. Step 4: Simplify right side
    180,796x = 71,558,390,016
  5. Step 5: Solve for x
    x = 71,558,390,016/180,796
  6. Step 6: Final answer
    x = 395,796.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.