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Finding the Third Proportional to 201,231 and 282,022

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Solution

The third proportional to 201,231 and 282,022 is: 395,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231 : 282,022 = 282,022 : x
  2. Step 2: Convert to fraction form
    201,231/282,022 = 282,022/x
  3. Step 3: Cross multiply
    201,231x = 282,022 × 282,022
  4. Step 4: Simplify right side
    201,231x = 79,536,408,484
  5. Step 5: Solve for x
    x = 79,536,408,484/201,231
  6. Step 6: Final answer
    x = 395,249.28

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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.