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Finding the Third Proportional to 218,821.50 and 332,729.44

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Solution

The third proportional to 218,821.50 and 332,729.44 is: 505,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,821.50 : 332,729.44 = 332,729.44 : x
  2. Step 2: Convert to fraction form
    218,821.50/332,729.44 = 332,729.44/x
  3. Step 3: Cross multiply
    218,821.50x = 332,729.44 × 332,729.44
  4. Step 4: Simplify right side
    218,821.50x = 110,708,878,579.07
  5. Step 5: Solve for x
    x = 110,708,878,579.07/218,821.50
  6. Step 6: Final answer
    x = 505,932.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.