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Finding the Third Proportional to 181,036 and 397,756

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Solution

The third proportional to 181,036 and 397,756 is: 873,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,036 : 397,756 = 397,756 : x
  2. Step 2: Convert to fraction form
    181,036/397,756 = 397,756/x
  3. Step 3: Cross multiply
    181,036x = 397,756 × 397,756
  4. Step 4: Simplify right side
    181,036x = 158,209,835,536
  5. Step 5: Solve for x
    x = 158,209,835,536/181,036
  6. Step 6: Final answer
    x = 873,913.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.