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Finding the Third Proportional to 184,993.88 and 276,749.16

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Solution

The third proportional to 184,993.88 and 276,749.16 is: 414,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,993.88 : 276,749.16 = 276,749.16 : x
  2. Step 2: Convert to fraction form
    184,993.88/276,749.16 = 276,749.16/x
  3. Step 3: Cross multiply
    184,993.88x = 276,749.16 × 276,749.16
  4. Step 4: Simplify right side
    184,993.88x = 76,590,095,485.09
  5. Step 5: Solve for x
    x = 76,590,095,485.09/184,993.88
  6. Step 6: Final answer
    x = 414,014.22

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Why These Related Problems?

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