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Finding the Third Proportional to 130,223 and 267,358

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Solution

The third proportional to 130,223 and 267,358 is: 548,906.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,223 : 267,358 = 267,358 : x
  2. Step 2: Convert to fraction form
    130,223/267,358 = 267,358/x
  3. Step 3: Cross multiply
    130,223x = 267,358 × 267,358
  4. Step 4: Simplify right side
    130,223x = 71,480,300,164
  5. Step 5: Solve for x
    x = 71,480,300,164/130,223
  6. Step 6: Final answer
    x = 548,906.88

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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.