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Finding the Third Proportional to 150,665.06 and 227,941.31

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Solution

The third proportional to 150,665.06 and 227,941.31 is: 344,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,665.06 : 227,941.31 = 227,941.31 : x
  2. Step 2: Convert to fraction form
    150,665.06/227,941.31 = 227,941.31/x
  3. Step 3: Cross multiply
    150,665.06x = 227,941.31 × 227,941.31
  4. Step 4: Simplify right side
    150,665.06x = 51,957,241,944.22
  5. Step 5: Solve for x
    x = 51,957,241,944.22/150,665.06
  6. Step 6: Final answer
    x = 344,852.62

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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.