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Finding the Third Proportional to 106,679 and 229,174

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Solution

The third proportional to 106,679 and 229,174 is: 492,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,679 : 229,174 = 229,174 : x
  2. Step 2: Convert to fraction form
    106,679/229,174 = 229,174/x
  3. Step 3: Cross multiply
    106,679x = 229,174 × 229,174
  4. Step 4: Simplify right side
    106,679x = 52,520,722,276
  5. Step 5: Solve for x
    x = 52,520,722,276/106,679
  6. Step 6: Final answer
    x = 492,324.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.