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Finding the Third Proportional to 193,284.56 and 420,879.38

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Solution

The third proportional to 193,284.56 and 420,879.38 is: 916,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,284.56 : 420,879.38 = 420,879.38 : x
  2. Step 2: Convert to fraction form
    193,284.56/420,879.38 = 420,879.38/x
  3. Step 3: Cross multiply
    193,284.56x = 420,879.38 × 420,879.38
  4. Step 4: Simplify right side
    193,284.56x = 177,139,448,300.39
  5. Step 5: Solve for x
    x = 177,139,448,300.39/193,284.56
  6. Step 6: Final answer
    x = 916,469.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.