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Finding the Third Proportional to 248,505 and 331,090.50

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Solution

The third proportional to 248,505 and 331,090.50 is: 441,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,505 : 331,090.50 = 331,090.50 : x
  2. Step 2: Convert to fraction form
    248,505/331,090.50 = 331,090.50/x
  3. Step 3: Cross multiply
    248,505x = 331,090.50 × 331,090.50
  4. Step 4: Simplify right side
    248,505x = 109,620,919,190.25
  5. Step 5: Solve for x
    x = 109,620,919,190.25/248,505
  6. Step 6: Final answer
    x = 441,121.58

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.