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Finding the Third Proportional to 171,181 and 256,803

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Solution

The third proportional to 171,181 and 256,803 is: 385,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,181 : 256,803 = 256,803 : x
  2. Step 2: Convert to fraction form
    171,181/256,803 = 256,803/x
  3. Step 3: Cross multiply
    171,181x = 256,803 × 256,803
  4. Step 4: Simplify right side
    171,181x = 65,947,780,809
  5. Step 5: Solve for x
    x = 65,947,780,809/171,181
  6. Step 6: Final answer
    x = 385,251.76

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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.