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Finding the Third Proportional to 115,022 and 250,293

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Solution

The third proportional to 115,022 and 250,293 is: 544,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,022 : 250,293 = 250,293 : x
  2. Step 2: Convert to fraction form
    115,022/250,293 = 250,293/x
  3. Step 3: Cross multiply
    115,022x = 250,293 × 250,293
  4. Step 4: Simplify right side
    115,022x = 62,646,585,849
  5. Step 5: Solve for x
    x = 62,646,585,849/115,022
  6. Step 6: Final answer
    x = 544,648.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.