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Finding the Third Proportional to 171,772 and 259,542

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Solution

The third proportional to 171,772 and 259,542 is: 392,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,772 : 259,542 = 259,542 : x
  2. Step 2: Convert to fraction form
    171,772/259,542 = 259,542/x
  3. Step 3: Cross multiply
    171,772x = 259,542 × 259,542
  4. Step 4: Simplify right side
    171,772x = 67,362,049,764
  5. Step 5: Solve for x
    x = 67,362,049,764/171,772
  6. Step 6: Final answer
    x = 392,159.66

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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.