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Finding the Third Proportional to 129,266 and 270,244

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Solution

The third proportional to 129,266 and 270,244 is: 564,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,266 : 270,244 = 270,244 : x
  2. Step 2: Convert to fraction form
    129,266/270,244 = 270,244/x
  3. Step 3: Cross multiply
    129,266x = 270,244 × 270,244
  4. Step 4: Simplify right side
    129,266x = 73,031,819,536
  5. Step 5: Solve for x
    x = 73,031,819,536/129,266
  6. Step 6: Final answer
    x = 564,973.15

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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.