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Finding the Third Proportional to 171,786 and 250,215

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Solution

The third proportional to 171,786 and 250,215 is: 364,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,786 : 250,215 = 250,215 : x
  2. Step 2: Convert to fraction form
    171,786/250,215 = 250,215/x
  3. Step 3: Cross multiply
    171,786x = 250,215 × 250,215
  4. Step 4: Simplify right side
    171,786x = 62,607,546,225
  5. Step 5: Solve for x
    x = 62,607,546,225/171,786
  6. Step 6: Final answer
    x = 364,450.81

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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.