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Finding the Third Proportional to 184,828.50 and 397,269

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Solution

The third proportional to 184,828.50 and 397,269 is: 853,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,828.50 : 397,269 = 397,269 : x
  2. Step 2: Convert to fraction form
    184,828.50/397,269 = 397,269/x
  3. Step 3: Cross multiply
    184,828.50x = 397,269 × 397,269
  4. Step 4: Simplify right side
    184,828.50x = 157,822,658,361
  5. Step 5: Solve for x
    x = 157,822,658,361/184,828.50
  6. Step 6: Final answer
    x = 853,887.03

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