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Finding the Third Proportional to 230,996 and 345,550

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Solution

The third proportional to 230,996 and 345,550 is: 516,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,996 : 345,550 = 345,550 : x
  2. Step 2: Convert to fraction form
    230,996/345,550 = 345,550/x
  3. Step 3: Cross multiply
    230,996x = 345,550 × 345,550
  4. Step 4: Simplify right side
    230,996x = 119,404,802,500
  5. Step 5: Solve for x
    x = 119,404,802,500/230,996
  6. Step 6: Final answer
    x = 516,912.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.