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Finding the Third Proportional to 186,072.19 and 407,604.66

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Solution

The third proportional to 186,072.19 and 407,604.66 is: 892,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,072.19 : 407,604.66 = 407,604.66 : x
  2. Step 2: Convert to fraction form
    186,072.19/407,604.66 = 407,604.66/x
  3. Step 3: Cross multiply
    186,072.19x = 407,604.66 × 407,604.66
  4. Step 4: Simplify right side
    186,072.19x = 166,141,555,796.68
  5. Step 5: Solve for x
    x = 166,141,555,796.68/186,072.19
  6. Step 6: Final answer
    x = 892,887.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.