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Finding the Third Proportional to 114,471 and 250,812

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Solution

The third proportional to 114,471 and 250,812 is: 549,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,471 : 250,812 = 250,812 : x
  2. Step 2: Convert to fraction form
    114,471/250,812 = 250,812/x
  3. Step 3: Cross multiply
    114,471x = 250,812 × 250,812
  4. Step 4: Simplify right side
    114,471x = 62,906,659,344
  5. Step 5: Solve for x
    x = 62,906,659,344/114,471
  6. Step 6: Final answer
    x = 549,542.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.