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Finding the Third Proportional to 146,419 and 221,474

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Solution

The third proportional to 146,419 and 221,474 is: 335,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,419 : 221,474 = 221,474 : x
  2. Step 2: Convert to fraction form
    146,419/221,474 = 221,474/x
  3. Step 3: Cross multiply
    146,419x = 221,474 × 221,474
  4. Step 4: Simplify right side
    146,419x = 49,050,732,676
  5. Step 5: Solve for x
    x = 49,050,732,676/146,419
  6. Step 6: Final answer
    x = 335,002.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.