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Finding the Third Proportional to 101,841 and 223,266

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Solution

The third proportional to 101,841 and 223,266 is: 489,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,841 : 223,266 = 223,266 : x
  2. Step 2: Convert to fraction form
    101,841/223,266 = 223,266/x
  3. Step 3: Cross multiply
    101,841x = 223,266 × 223,266
  4. Step 4: Simplify right side
    101,841x = 49,847,706,756
  5. Step 5: Solve for x
    x = 49,847,706,756/101,841
  6. Step 6: Final answer
    x = 489,466.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.