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Finding the Third Proportional to 184,084 and 397,164

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Solution

The third proportional to 184,084 and 397,164 is: 856,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,084 : 397,164 = 397,164 : x
  2. Step 2: Convert to fraction form
    184,084/397,164 = 397,164/x
  3. Step 3: Cross multiply
    184,084x = 397,164 × 397,164
  4. Step 4: Simplify right side
    184,084x = 157,739,242,896
  5. Step 5: Solve for x
    x = 157,739,242,896/184,084
  6. Step 6: Final answer
    x = 856,887.31

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Why These Related Problems?

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