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Finding the Third Proportional to 199,962 and 281,232

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Solution

The third proportional to 199,962 and 281,232 is: 395,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,962 : 281,232 = 281,232 : x
  2. Step 2: Convert to fraction form
    199,962/281,232 = 281,232/x
  3. Step 3: Cross multiply
    199,962x = 281,232 × 281,232
  4. Step 4: Simplify right side
    199,962x = 79,091,437,824
  5. Step 5: Solve for x
    x = 79,091,437,824/199,962
  6. Step 6: Final answer
    x = 395,532.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.