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Finding the Third Proportional to 151,524 and 227,286

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Solution

The third proportional to 151,524 and 227,286 is: 340,929

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,524 : 227,286 = 227,286 : x
  2. Step 2: Convert to fraction form
    151,524/227,286 = 227,286/x
  3. Step 3: Cross multiply
    151,524x = 227,286 × 227,286
  4. Step 4: Simplify right side
    151,524x = 51,658,925,796
  5. Step 5: Solve for x
    x = 51,658,925,796/151,524
  6. Step 6: Final answer
    x = 340,929

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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.