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Finding the Third Proportional to 226,419.75 and 333,067.50

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Solution

The third proportional to 226,419.75 and 333,067.50 is: 489,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,419.75 : 333,067.50 = 333,067.50 : x
  2. Step 2: Convert to fraction form
    226,419.75/333,067.50 = 333,067.50/x
  3. Step 3: Cross multiply
    226,419.75x = 333,067.50 × 333,067.50
  4. Step 4: Simplify right side
    226,419.75x = 110,933,959,556.25
  5. Step 5: Solve for x
    x = 110,933,959,556.25/226,419.75
  6. Step 6: Final answer
    x = 489,948.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.