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Finding the Third Proportional to 184,558.50 and 263,917.50

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Solution

The third proportional to 184,558.50 and 263,917.50 is: 377,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,558.50 : 263,917.50 = 263,917.50 : x
  2. Step 2: Convert to fraction form
    184,558.50/263,917.50 = 263,917.50/x
  3. Step 3: Cross multiply
    184,558.50x = 263,917.50 × 263,917.50
  4. Step 4: Simplify right side
    184,558.50x = 69,652,446,806.25
  5. Step 5: Solve for x
    x = 69,652,446,806.25/184,558.50
  6. Step 6: Final answer
    x = 377,400.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.