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Finding the Third Proportional to 115,351 and 250,286

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Solution

The third proportional to 115,351 and 250,286 is: 543,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,351 : 250,286 = 250,286 : x
  2. Step 2: Convert to fraction form
    115,351/250,286 = 250,286/x
  3. Step 3: Cross multiply
    115,351x = 250,286 × 250,286
  4. Step 4: Simplify right side
    115,351x = 62,643,081,796
  5. Step 5: Solve for x
    x = 62,643,081,796/115,351
  6. Step 6: Final answer
    x = 543,064.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.