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Finding the Third Proportional to 151,548 and 227,322

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Solution

The third proportional to 151,548 and 227,322 is: 340,983

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,548 : 227,322 = 227,322 : x
  2. Step 2: Convert to fraction form
    151,548/227,322 = 227,322/x
  3. Step 3: Cross multiply
    151,548x = 227,322 × 227,322
  4. Step 4: Simplify right side
    151,548x = 51,675,291,684
  5. Step 5: Solve for x
    x = 51,675,291,684/151,548
  6. Step 6: Final answer
    x = 340,983

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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.