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Finding the Third Proportional to 158,608 and 227,977

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Solution

The third proportional to 158,608 and 227,977 is: 327,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,608 : 227,977 = 227,977 : x
  2. Step 2: Convert to fraction form
    158,608/227,977 = 227,977/x
  3. Step 3: Cross multiply
    158,608x = 227,977 × 227,977
  4. Step 4: Simplify right side
    158,608x = 51,973,512,529
  5. Step 5: Solve for x
    x = 51,973,512,529/158,608
  6. Step 6: Final answer
    x = 327,685.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.