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Finding the Third Proportional to 163,201.50 and 345,998.25

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Solution

The third proportional to 163,201.50 and 345,998.25 is: 733,539.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,201.50 : 345,998.25 = 345,998.25 : x
  2. Step 2: Convert to fraction form
    163,201.50/345,998.25 = 345,998.25/x
  3. Step 3: Cross multiply
    163,201.50x = 345,998.25 × 345,998.25
  4. Step 4: Simplify right side
    163,201.50x = 119,714,789,003.06
  5. Step 5: Solve for x
    x = 119,714,789,003.06/163,201.50
  6. Step 6: Final answer
    x = 733,539.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.