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Finding the Third Proportional to 201,401 and 282,327

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Solution

The third proportional to 201,401 and 282,327 is: 395,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,401 : 282,327 = 282,327 : x
  2. Step 2: Convert to fraction form
    201,401/282,327 = 282,327/x
  3. Step 3: Cross multiply
    201,401x = 282,327 × 282,327
  4. Step 4: Simplify right side
    201,401x = 79,708,534,929
  5. Step 5: Solve for x
    x = 79,708,534,929/201,401
  6. Step 6: Final answer
    x = 395,770.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.