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Finding the Third Proportional to 181,636 and 395,968

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Solution

The third proportional to 181,636 and 395,968 is: 863,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,636 : 395,968 = 395,968 : x
  2. Step 2: Convert to fraction form
    181,636/395,968 = 395,968/x
  3. Step 3: Cross multiply
    181,636x = 395,968 × 395,968
  4. Step 4: Simplify right side
    181,636x = 156,790,657,024
  5. Step 5: Solve for x
    x = 156,790,657,024/181,636
  6. Step 6: Final answer
    x = 863,213.55

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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.