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Finding the Third Proportional to 192,753.56 and 417,684.94

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Solution

The third proportional to 192,753.56 and 417,684.94 is: 905,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,753.56 : 417,684.94 = 417,684.94 : x
  2. Step 2: Convert to fraction form
    192,753.56/417,684.94 = 417,684.94/x
  3. Step 3: Cross multiply
    192,753.56x = 417,684.94 × 417,684.94
  4. Step 4: Simplify right side
    192,753.56x = 174,460,707,014.38
  5. Step 5: Solve for x
    x = 174,460,707,014.38/192,753.56
  6. Step 6: Final answer
    x = 905,097.19

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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.