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Finding the Third Proportional to 236,619.75 and 513,163.50

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Solution

The third proportional to 236,619.75 and 513,163.50 is: 1,112,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,619.75 : 513,163.50 = 513,163.50 : x
  2. Step 2: Convert to fraction form
    236,619.75/513,163.50 = 513,163.50/x
  3. Step 3: Cross multiply
    236,619.75x = 513,163.50 × 513,163.50
  4. Step 4: Simplify right side
    236,619.75x = 263,336,777,732.25
  5. Step 5: Solve for x
    x = 263,336,777,732.25/236,619.75
  6. Step 6: Final answer
    x = 1,112,911.23

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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.