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Finding the Third Proportional to 151,435.50 and 227,519.25

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Solution

The third proportional to 151,435.50 and 227,519.25 is: 341,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,435.50 : 227,519.25 = 227,519.25 : x
  2. Step 2: Convert to fraction form
    151,435.50/227,519.25 = 227,519.25/x
  3. Step 3: Cross multiply
    151,435.50x = 227,519.25 × 227,519.25
  4. Step 4: Simplify right side
    151,435.50x = 51,765,009,120.56
  5. Step 5: Solve for x
    x = 51,765,009,120.56/151,435.50
  6. Step 6: Final answer
    x = 341,828.76

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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.