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Finding the Third Proportional to 171,036 and 264,857

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Solution

The third proportional to 171,036 and 264,857 is: 410,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,036 : 264,857 = 264,857 : x
  2. Step 2: Convert to fraction form
    171,036/264,857 = 264,857/x
  3. Step 3: Cross multiply
    171,036x = 264,857 × 264,857
  4. Step 4: Simplify right side
    171,036x = 70,149,230,449
  5. Step 5: Solve for x
    x = 70,149,230,449/171,036
  6. Step 6: Final answer
    x = 410,143.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.