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Finding the Third Proportional to 129,272 and 270,256

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Solution

The third proportional to 129,272 and 270,256 is: 564,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,272 : 270,256 = 270,256 : x
  2. Step 2: Convert to fraction form
    129,272/270,256 = 270,256/x
  3. Step 3: Cross multiply
    129,272x = 270,256 × 270,256
  4. Step 4: Simplify right side
    129,272x = 73,038,305,536
  5. Step 5: Solve for x
    x = 73,038,305,536/129,272
  6. Step 6: Final answer
    x = 564,997.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.