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Finding the Third Proportional to 107,276 and 231,414

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Solution

The third proportional to 107,276 and 231,414 is: 499,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,276 : 231,414 = 231,414 : x
  2. Step 2: Convert to fraction form
    107,276/231,414 = 231,414/x
  3. Step 3: Cross multiply
    107,276x = 231,414 × 231,414
  4. Step 4: Simplify right side
    107,276x = 53,552,439,396
  5. Step 5: Solve for x
    x = 53,552,439,396/107,276
  6. Step 6: Final answer
    x = 499,202.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.