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Finding the Third Proportional to 180,824 and 267,548

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Solution

The third proportional to 180,824 and 267,548 is: 395,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,824 : 267,548 = 267,548 : x
  2. Step 2: Convert to fraction form
    180,824/267,548 = 267,548/x
  3. Step 3: Cross multiply
    180,824x = 267,548 × 267,548
  4. Step 4: Simplify right side
    180,824x = 71,581,932,304
  5. Step 5: Solve for x
    x = 71,581,932,304/180,824
  6. Step 6: Final answer
    x = 395,865.22

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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.