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Finding the Third Proportional to 151,366 and 227,049

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Solution

The third proportional to 151,366 and 227,049 is: 340,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,366 : 227,049 = 227,049 : x
  2. Step 2: Convert to fraction form
    151,366/227,049 = 227,049/x
  3. Step 3: Cross multiply
    151,366x = 227,049 × 227,049
  4. Step 4: Simplify right side
    151,366x = 51,551,248,401
  5. Step 5: Solve for x
    x = 51,551,248,401/151,366
  6. Step 6: Final answer
    x = 340,573.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.