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Finding the Third Proportional to 130,236 and 267,384

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Solution

The third proportional to 130,236 and 267,384 is: 548,958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,236 : 267,384 = 267,384 : x
  2. Step 2: Convert to fraction form
    130,236/267,384 = 267,384/x
  3. Step 3: Cross multiply
    130,236x = 267,384 × 267,384
  4. Step 4: Simplify right side
    130,236x = 71,494,203,456
  5. Step 5: Solve for x
    x = 71,494,203,456/130,236
  6. Step 6: Final answer
    x = 548,958.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.