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Finding the Third Proportional to 172,099.50 and 372,795

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Solution

The third proportional to 172,099.50 and 372,795 is: 807,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,099.50 : 372,795 = 372,795 : x
  2. Step 2: Convert to fraction form
    172,099.50/372,795 = 372,795/x
  3. Step 3: Cross multiply
    172,099.50x = 372,795 × 372,795
  4. Step 4: Simplify right side
    172,099.50x = 138,976,112,025
  5. Step 5: Solve for x
    x = 138,976,112,025/172,099.50
  6. Step 6: Final answer
    x = 807,533.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.