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Finding the Third Proportional to 184,816.50 and 397,245

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Solution

The third proportional to 184,816.50 and 397,245 is: 853,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,816.50 : 397,245 = 397,245 : x
  2. Step 2: Convert to fraction form
    184,816.50/397,245 = 397,245/x
  3. Step 3: Cross multiply
    184,816.50x = 397,245 × 397,245
  4. Step 4: Simplify right side
    184,816.50x = 157,803,590,025
  5. Step 5: Solve for x
    x = 157,803,590,025/184,816.50
  6. Step 6: Final answer
    x = 853,839.29

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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.