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Finding the Third Proportional to 199,989 and 281,271

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Solution

The third proportional to 199,989 and 281,271 is: 395,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,989 : 281,271 = 281,271 : x
  2. Step 2: Convert to fraction form
    199,989/281,271 = 281,271/x
  3. Step 3: Cross multiply
    199,989x = 281,271 × 281,271
  4. Step 4: Simplify right side
    199,989x = 79,113,375,441
  5. Step 5: Solve for x
    x = 79,113,375,441/199,989
  6. Step 6: Final answer
    x = 395,588.63

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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.