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Finding the Third Proportional to 107,799.25 and 226,770

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Solution

The third proportional to 107,799.25 and 226,770 is: 477,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,799.25 : 226,770 = 226,770 : x
  2. Step 2: Convert to fraction form
    107,799.25/226,770 = 226,770/x
  3. Step 3: Cross multiply
    107,799.25x = 226,770 × 226,770
  4. Step 4: Simplify right side
    107,799.25x = 51,424,632,900
  5. Step 5: Solve for x
    x = 51,424,632,900/107,799.25
  6. Step 6: Final answer
    x = 477,040.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.