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Finding the Third Proportional to 115,835.75 and 184,994.75

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Solution

The third proportional to 115,835.75 and 184,994.75 is: 295,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,835.75 : 184,994.75 = 184,994.75 : x
  2. Step 2: Convert to fraction form
    115,835.75/184,994.75 = 184,994.75/x
  3. Step 3: Cross multiply
    115,835.75x = 184,994.75 × 184,994.75
  4. Step 4: Simplify right side
    115,835.75x = 34,223,057,527.56
  5. Step 5: Solve for x
    x = 34,223,057,527.56/115,835.75
  6. Step 6: Final answer
    x = 295,444.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.