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Finding the Third Proportional to 200,096 and 281,424

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Solution

The third proportional to 200,096 and 281,424 is: 395,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,096 : 281,424 = 281,424 : x
  2. Step 2: Convert to fraction form
    200,096/281,424 = 281,424/x
  3. Step 3: Cross multiply
    200,096x = 281,424 × 281,424
  4. Step 4: Simplify right side
    200,096x = 79,199,467,776
  5. Step 5: Solve for x
    x = 79,199,467,776/200,096
  6. Step 6: Final answer
    x = 395,807.35

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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.