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Finding the Third Proportional to 171,054 and 364,256

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Solution

The third proportional to 171,054 and 364,256 is: 775,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,054 : 364,256 = 364,256 : x
  2. Step 2: Convert to fraction form
    171,054/364,256 = 364,256/x
  3. Step 3: Cross multiply
    171,054x = 364,256 × 364,256
  4. Step 4: Simplify right side
    171,054x = 132,682,433,536
  5. Step 5: Solve for x
    x = 132,682,433,536/171,054
  6. Step 6: Final answer
    x = 775,675.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.