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Finding the Third Proportional to 200,040 and 281,334

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Solution

The third proportional to 200,040 and 281,334 is: 395,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,040 : 281,334 = 281,334 : x
  2. Step 2: Convert to fraction form
    200,040/281,334 = 281,334/x
  3. Step 3: Cross multiply
    200,040x = 281,334 × 281,334
  4. Step 4: Simplify right side
    200,040x = 79,148,819,556
  5. Step 5: Solve for x
    x = 79,148,819,556/200,040
  6. Step 6: Final answer
    x = 395,664.96

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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.