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Finding the Third Proportional to 166,150.13 and 364,466.81

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Solution

The third proportional to 166,150.13 and 364,466.81 is: 799,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,150.13 : 364,466.81 = 364,466.81 : x
  2. Step 2: Convert to fraction form
    166,150.13/364,466.81 = 364,466.81/x
  3. Step 3: Cross multiply
    166,150.13x = 364,466.81 × 364,466.81
  4. Step 4: Simplify right side
    166,150.13x = 132,836,057,413.91
  5. Step 5: Solve for x
    x = 132,836,057,413.91/166,150.13
  6. Step 6: Final answer
    x = 799,494.18

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Why These Related Problems?

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