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Finding the Third Proportional to 184,112 and 397,196

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Solution

The third proportional to 184,112 and 397,196 is: 856,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,112 : 397,196 = 397,196 : x
  2. Step 2: Convert to fraction form
    184,112/397,196 = 397,196/x
  3. Step 3: Cross multiply
    184,112x = 397,196 × 397,196
  4. Step 4: Simplify right side
    184,112x = 157,764,662,416
  5. Step 5: Solve for x
    x = 157,764,662,416/184,112
  6. Step 6: Final answer
    x = 856,895.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.