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Finding the Third Proportional to 106,058 and 226,696

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Solution

The third proportional to 106,058 and 226,696 is: 484,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,058 : 226,696 = 226,696 : x
  2. Step 2: Convert to fraction form
    106,058/226,696 = 226,696/x
  3. Step 3: Cross multiply
    106,058x = 226,696 × 226,696
  4. Step 4: Simplify right side
    106,058x = 51,391,076,416
  5. Step 5: Solve for x
    x = 51,391,076,416/106,058
  6. Step 6: Final answer
    x = 484,556.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.