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Finding the Third Proportional to 169,542 and 256,500

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Solution

The third proportional to 169,542 and 256,500 is: 388,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,542 : 256,500 = 256,500 : x
  2. Step 2: Convert to fraction form
    169,542/256,500 = 256,500/x
  3. Step 3: Cross multiply
    169,542x = 256,500 × 256,500
  4. Step 4: Simplify right side
    169,542x = 65,792,250,000
  5. Step 5: Solve for x
    x = 65,792,250,000/169,542
  6. Step 6: Final answer
    x = 388,058.71

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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.