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Finding the Third Proportional to 199,968.75 and 281,282.25

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Solution

The third proportional to 199,968.75 and 281,282.25 is: 395,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,968.75 : 281,282.25 = 281,282.25 : x
  2. Step 2: Convert to fraction form
    199,968.75/281,282.25 = 281,282.25/x
  3. Step 3: Cross multiply
    199,968.75x = 281,282.25 × 281,282.25
  4. Step 4: Simplify right side
    199,968.75x = 79,119,704,165.06
  5. Step 5: Solve for x
    x = 79,119,704,165.06/199,968.75
  6. Step 6: Final answer
    x = 395,660.34

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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.