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Finding the Third Proportional to 201,328 and 282,166

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Solution

The third proportional to 201,328 and 282,166 is: 395,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,328 : 282,166 = 282,166 : x
  2. Step 2: Convert to fraction form
    201,328/282,166 = 282,166/x
  3. Step 3: Cross multiply
    201,328x = 282,166 × 282,166
  4. Step 4: Simplify right side
    201,328x = 79,617,651,556
  5. Step 5: Solve for x
    x = 79,617,651,556/201,328
  6. Step 6: Final answer
    x = 395,462.39

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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.