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Finding the Third Proportional to 236,619.94 and 513,163.69

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Solution

The third proportional to 236,619.94 and 513,163.69 is: 1,112,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,619.94 : 513,163.69 = 513,163.69 : x
  2. Step 2: Convert to fraction form
    236,619.94/513,163.69 = 513,163.69/x
  3. Step 3: Cross multiply
    236,619.94x = 513,163.69 × 513,163.69
  4. Step 4: Simplify right side
    236,619.94x = 263,336,970,168.60
  5. Step 5: Solve for x
    x = 263,336,970,168.60/236,619.94
  6. Step 6: Final answer
    x = 1,112,911.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.