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Finding the Third Proportional to 150,342 and 225,945

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Solution

The third proportional to 150,342 and 225,945 is: 339,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,342 : 225,945 = 225,945 : x
  2. Step 2: Convert to fraction form
    150,342/225,945 = 225,945/x
  3. Step 3: Cross multiply
    150,342x = 225,945 × 225,945
  4. Step 4: Simplify right side
    150,342x = 51,051,143,025
  5. Step 5: Solve for x
    x = 51,051,143,025/150,342
  6. Step 6: Final answer
    x = 339,566.74

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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.