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Finding the Third Proportional to 171,077 and 250,115

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Solution

The third proportional to 171,077 and 250,115 is: 365,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,077 : 250,115 = 250,115 : x
  2. Step 2: Convert to fraction form
    171,077/250,115 = 250,115/x
  3. Step 3: Cross multiply
    171,077x = 250,115 × 250,115
  4. Step 4: Simplify right side
    171,077x = 62,557,513,225
  5. Step 5: Solve for x
    x = 62,557,513,225/171,077
  6. Step 6: Final answer
    x = 365,668.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.