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Finding the Third Proportional to 184,896 and 397,450

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Solution

The third proportional to 184,896 and 397,450 is: 854,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,896 : 397,450 = 397,450 : x
  2. Step 2: Convert to fraction form
    184,896/397,450 = 397,450/x
  3. Step 3: Cross multiply
    184,896x = 397,450 × 397,450
  4. Step 4: Simplify right side
    184,896x = 157,966,502,500
  5. Step 5: Solve for x
    x = 157,966,502,500/184,896
  6. Step 6: Final answer
    x = 854,353.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.