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Finding the Third Proportional to 161,617.50 and 354,096

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Solution

The third proportional to 161,617.50 and 354,096 is: 775,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,617.50 : 354,096 = 354,096 : x
  2. Step 2: Convert to fraction form
    161,617.50/354,096 = 354,096/x
  3. Step 3: Cross multiply
    161,617.50x = 354,096 × 354,096
  4. Step 4: Simplify right side
    161,617.50x = 125,383,977,216
  5. Step 5: Solve for x
    x = 125,383,977,216/161,617.50
  6. Step 6: Final answer
    x = 775,806.93

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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.