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Finding the Third Proportional to 161,147.50 and 341,504.50

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Solution

The third proportional to 161,147.50 and 341,504.50 is: 723,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,147.50 : 341,504.50 = 341,504.50 : x
  2. Step 2: Convert to fraction form
    161,147.50/341,504.50 = 341,504.50/x
  3. Step 3: Cross multiply
    161,147.50x = 341,504.50 × 341,504.50
  4. Step 4: Simplify right side
    161,147.50x = 116,625,323,520.25
  5. Step 5: Solve for x
    x = 116,625,323,520.25/161,147.50
  6. Step 6: Final answer
    x = 723,717.86

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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.