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Finding the Third Proportional to 151,311 and 227,619

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Solution

The third proportional to 151,311 and 227,619 is: 342,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,311 : 227,619 = 227,619 : x
  2. Step 2: Convert to fraction form
    151,311/227,619 = 227,619/x
  3. Step 3: Cross multiply
    151,311x = 227,619 × 227,619
  4. Step 4: Simplify right side
    151,311x = 51,810,409,161
  5. Step 5: Solve for x
    x = 51,810,409,161/151,311
  6. Step 6: Final answer
    x = 342,410.06

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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.