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Finding the Third Proportional to 166,253.91 and 360,290.81

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Solution

The third proportional to 166,253.91 and 360,290.81 is: 780,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,253.91 : 360,290.81 = 360,290.81 : x
  2. Step 2: Convert to fraction form
    166,253.91/360,290.81 = 360,290.81/x
  3. Step 3: Cross multiply
    166,253.91x = 360,290.81 × 360,290.81
  4. Step 4: Simplify right side
    166,253.91x = 129,809,469,571.91
  5. Step 5: Solve for x
    x = 129,809,469,571.91/166,253.91
  6. Step 6: Final answer
    x = 780,790.49

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Why These Related Problems?

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