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Finding the Third Proportional to 171,159 and 365,217

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Solution

The third proportional to 171,159 and 365,217 is: 779,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,159 : 365,217 = 365,217 : x
  2. Step 2: Convert to fraction form
    171,159/365,217 = 365,217/x
  3. Step 3: Cross multiply
    171,159x = 365,217 × 365,217
  4. Step 4: Simplify right side
    171,159x = 133,383,457,089
  5. Step 5: Solve for x
    x = 133,383,457,089/171,159
  6. Step 6: Final answer
    x = 779,295.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.