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Finding the Third Proportional to 171,177 and 256,797

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Solution

The third proportional to 171,177 and 256,797 is: 385,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,177 : 256,797 = 256,797 : x
  2. Step 2: Convert to fraction form
    171,177/256,797 = 256,797/x
  3. Step 3: Cross multiply
    171,177x = 256,797 × 256,797
  4. Step 4: Simplify right side
    171,177x = 65,944,699,209
  5. Step 5: Solve for x
    x = 65,944,699,209/171,177
  6. Step 6: Final answer
    x = 385,242.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.