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Finding the Third Proportional to 129,268 and 270,248

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Solution

The third proportional to 129,268 and 270,248 is: 564,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,268 : 270,248 = 270,248 : x
  2. Step 2: Convert to fraction form
    129,268/270,248 = 270,248/x
  3. Step 3: Cross multiply
    129,268x = 270,248 × 270,248
  4. Step 4: Simplify right side
    129,268x = 73,033,981,504
  5. Step 5: Solve for x
    x = 73,033,981,504/129,268
  6. Step 6: Final answer
    x = 564,981.14

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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.