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Finding the Third Proportional to 165,879 and 226,990.50

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Solution

The third proportional to 165,879 and 226,990.50 is: 310,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,879 : 226,990.50 = 226,990.50 : x
  2. Step 2: Convert to fraction form
    165,879/226,990.50 = 226,990.50/x
  3. Step 3: Cross multiply
    165,879x = 226,990.50 × 226,990.50
  4. Step 4: Simplify right side
    165,879x = 51,524,687,090.25
  5. Step 5: Solve for x
    x = 51,524,687,090.25/165,879
  6. Step 6: Final answer
    x = 310,616.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.