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Finding the Third Proportional to 114,716.75 and 184,684.75

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Solution

The third proportional to 114,716.75 and 184,684.75 is: 297,327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,716.75 : 184,684.75 = 184,684.75 : x
  2. Step 2: Convert to fraction form
    114,716.75/184,684.75 = 184,684.75/x
  3. Step 3: Cross multiply
    114,716.75x = 184,684.75 × 184,684.75
  4. Step 4: Simplify right side
    114,716.75x = 34,108,456,882.56
  5. Step 5: Solve for x
    x = 34,108,456,882.56/114,716.75
  6. Step 6: Final answer
    x = 297,327.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.