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Finding the Third Proportional to 184,740 and 397,968

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Solution

The third proportional to 184,740 and 397,968 is: 857,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,740 : 397,968 = 397,968 : x
  2. Step 2: Convert to fraction form
    184,740/397,968 = 397,968/x
  3. Step 3: Cross multiply
    184,740x = 397,968 × 397,968
  4. Step 4: Simplify right side
    184,740x = 158,378,529,024
  5. Step 5: Solve for x
    x = 158,378,529,024/184,740
  6. Step 6: Final answer
    x = 857,305.02

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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.