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Finding the Third Proportional to 184,556.81 and 263,914.88

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Solution

The third proportional to 184,556.81 and 263,914.88 is: 377,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,556.81 : 263,914.88 = 263,914.88 : x
  2. Step 2: Convert to fraction form
    184,556.81/263,914.88 = 263,914.88/x
  3. Step 3: Cross multiply
    184,556.81x = 263,914.88 × 263,914.88
  4. Step 4: Simplify right side
    184,556.81x = 69,651,061,246.27
  5. Step 5: Solve for x
    x = 69,651,061,246.27/184,556.81
  6. Step 6: Final answer
    x = 377,396.32

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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.