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Finding the Third Proportional to 197,187.75 and 451,851.75

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Solution

The third proportional to 197,187.75 and 451,851.75 is: 1,035,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,187.75 : 451,851.75 = 451,851.75 : x
  2. Step 2: Convert to fraction form
    197,187.75/451,851.75 = 451,851.75/x
  3. Step 3: Cross multiply
    197,187.75x = 451,851.75 × 451,851.75
  4. Step 4: Simplify right side
    197,187.75x = 204,170,003,978.06
  5. Step 5: Solve for x
    x = 204,170,003,978.06/197,187.75
  6. Step 6: Final answer
    x = 1,035,409.17

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.