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Finding the Third Proportional to 201,211 and 282,016

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Solution

The third proportional to 201,211 and 282,016 is: 395,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,211 : 282,016 = 282,016 : x
  2. Step 2: Convert to fraction form
    201,211/282,016 = 282,016/x
  3. Step 3: Cross multiply
    201,211x = 282,016 × 282,016
  4. Step 4: Simplify right side
    201,211x = 79,533,024,256
  5. Step 5: Solve for x
    x = 79,533,024,256/201,211
  6. Step 6: Final answer
    x = 395,271.75

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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.