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Finding the Third Proportional to 171,357 and 256,027

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Solution

The third proportional to 171,357 and 256,027 is: 382,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,357 : 256,027 = 256,027 : x
  2. Step 2: Convert to fraction form
    171,357/256,027 = 256,027/x
  3. Step 3: Cross multiply
    171,357x = 256,027 × 256,027
  4. Step 4: Simplify right side
    171,357x = 65,549,824,729
  5. Step 5: Solve for x
    x = 65,549,824,729/171,357
  6. Step 6: Final answer
    x = 382,533.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.