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Finding the Third Proportional to 236,040.75 and 505,212.75

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Solution

The third proportional to 236,040.75 and 505,212.75 is: 1,081,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,040.75 : 505,212.75 = 505,212.75 : x
  2. Step 2: Convert to fraction form
    236,040.75/505,212.75 = 505,212.75/x
  3. Step 3: Cross multiply
    236,040.75x = 505,212.75 × 505,212.75
  4. Step 4: Simplify right side
    236,040.75x = 255,239,922,762.56
  5. Step 5: Solve for x
    x = 255,239,922,762.56/236,040.75
  6. Step 6: Final answer
    x = 1,081,338.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.