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Finding the Third Proportional to 180,852 and 397,174.50

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Solution

The third proportional to 180,852 and 397,174.50 is: 872,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,852 : 397,174.50 = 397,174.50 : x
  2. Step 2: Convert to fraction form
    180,852/397,174.50 = 397,174.50/x
  3. Step 3: Cross multiply
    180,852x = 397,174.50 × 397,174.50
  4. Step 4: Simplify right side
    180,852x = 157,747,583,450.25
  5. Step 5: Solve for x
    x = 157,747,583,450.25/180,852
  6. Step 6: Final answer
    x = 872,246.83

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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.