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Finding the Third Proportional to 172,343 and 248,227

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Solution

The third proportional to 172,343 and 248,227 is: 357,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,343 : 248,227 = 248,227 : x
  2. Step 2: Convert to fraction form
    172,343/248,227 = 248,227/x
  3. Step 3: Cross multiply
    172,343x = 248,227 × 248,227
  4. Step 4: Simplify right side
    172,343x = 61,616,643,529
  5. Step 5: Solve for x
    x = 61,616,643,529/172,343
  6. Step 6: Final answer
    x = 357,523.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.