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Finding the Third Proportional to 107,414 and 230,380

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Solution

The third proportional to 107,414 and 230,380 is: 494,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,414 : 230,380 = 230,380 : x
  2. Step 2: Convert to fraction form
    107,414/230,380 = 230,380/x
  3. Step 3: Cross multiply
    107,414x = 230,380 × 230,380
  4. Step 4: Simplify right side
    107,414x = 53,074,944,400
  5. Step 5: Solve for x
    x = 53,074,944,400/107,414
  6. Step 6: Final answer
    x = 494,115.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.