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Finding the Third Proportional to 114,217 and 171,325

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Solution

The third proportional to 114,217 and 171,325 is: 256,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,217 : 171,325 = 171,325 : x
  2. Step 2: Convert to fraction form
    114,217/171,325 = 171,325/x
  3. Step 3: Cross multiply
    114,217x = 171,325 × 171,325
  4. Step 4: Simplify right side
    114,217x = 29,352,255,625
  5. Step 5: Solve for x
    x = 29,352,255,625/114,217
  6. Step 6: Final answer
    x = 256,986.75

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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.