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Finding the Third Proportional to 193,823.94 and 410,662.56

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Solution

The third proportional to 193,823.94 and 410,662.56 is: 870,087.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,823.94 : 410,662.56 = 410,662.56 : x
  2. Step 2: Convert to fraction form
    193,823.94/410,662.56 = 410,662.56/x
  3. Step 3: Cross multiply
    193,823.94x = 410,662.56 × 410,662.56
  4. Step 4: Simplify right side
    193,823.94x = 168,643,740,239.07
  5. Step 5: Solve for x
    x = 168,643,740,239.07/193,823.94
  6. Step 6: Final answer
    x = 870,087.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.