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Finding the Third Proportional to 171,078 and 250,116

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Solution

The third proportional to 171,078 and 250,116 is: 365,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,078 : 250,116 = 250,116 : x
  2. Step 2: Convert to fraction form
    171,078/250,116 = 250,116/x
  3. Step 3: Cross multiply
    171,078x = 250,116 × 250,116
  4. Step 4: Simplify right side
    171,078x = 62,558,013,456
  5. Step 5: Solve for x
    x = 62,558,013,456/171,078
  6. Step 6: Final answer
    x = 365,669.54

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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.