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Finding the Third Proportional to 106,741 and 229,311

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Solution

The third proportional to 106,741 and 229,311 is: 492,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,741 : 229,311 = 229,311 : x
  2. Step 2: Convert to fraction form
    106,741/229,311 = 229,311/x
  3. Step 3: Cross multiply
    106,741x = 229,311 × 229,311
  4. Step 4: Simplify right side
    106,741x = 52,583,534,721
  5. Step 5: Solve for x
    x = 52,583,534,721/106,741
  6. Step 6: Final answer
    x = 492,627.34

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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.