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Finding the Third Proportional to 167,189 and 256,616

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Solution

The third proportional to 167,189 and 256,616 is: 393,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,189 : 256,616 = 256,616 : x
  2. Step 2: Convert to fraction form
    167,189/256,616 = 256,616/x
  3. Step 3: Cross multiply
    167,189x = 256,616 × 256,616
  4. Step 4: Simplify right side
    167,189x = 65,851,771,456
  5. Step 5: Solve for x
    x = 65,851,771,456/167,189
  6. Step 6: Final answer
    x = 393,876.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.