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Finding the Third Proportional to 150,541.50 and 227,088

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Solution

The third proportional to 150,541.50 and 227,088 is: 342,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,541.50 : 227,088 = 227,088 : x
  2. Step 2: Convert to fraction form
    150,541.50/227,088 = 227,088/x
  3. Step 3: Cross multiply
    150,541.50x = 227,088 × 227,088
  4. Step 4: Simplify right side
    150,541.50x = 51,568,959,744
  5. Step 5: Solve for x
    x = 51,568,959,744/150,541.50
  6. Step 6: Final answer
    x = 342,556.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.