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Finding the Third Proportional to 181,635.75 and 395,970.19

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Solution

The third proportional to 181,635.75 and 395,970.19 is: 863,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,635.75 : 395,970.19 = 395,970.19 : x
  2. Step 2: Convert to fraction form
    181,635.75/395,970.19 = 395,970.19/x
  3. Step 3: Cross multiply
    181,635.75x = 395,970.19 × 395,970.19
  4. Step 4: Simplify right side
    181,635.75x = 156,792,389,388.79
  5. Step 5: Solve for x
    x = 156,792,389,388.79/181,635.75
  6. Step 6: Final answer
    x = 863,224.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.