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Finding the Third Proportional to 184,969 and 276,947

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Solution

The third proportional to 184,969 and 276,947 is: 414,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,969 : 276,947 = 276,947 : x
  2. Step 2: Convert to fraction form
    184,969/276,947 = 276,947/x
  3. Step 3: Cross multiply
    184,969x = 276,947 × 276,947
  4. Step 4: Simplify right side
    184,969x = 76,699,640,809
  5. Step 5: Solve for x
    x = 76,699,640,809/184,969
  6. Step 6: Final answer
    x = 414,662.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.