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Finding the Third Proportional to 197,262 and 432,067.50

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Solution

The third proportional to 197,262 and 432,067.50 is: 946,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,262 : 432,067.50 = 432,067.50 : x
  2. Step 2: Convert to fraction form
    197,262/432,067.50 = 432,067.50/x
  3. Step 3: Cross multiply
    197,262x = 432,067.50 × 432,067.50
  4. Step 4: Simplify right side
    197,262x = 186,682,324,556.25
  5. Step 5: Solve for x
    x = 186,682,324,556.25/197,262
  6. Step 6: Final answer
    x = 946,367.39

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