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Finding the Third Proportional to 201,609 and 282,573

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Solution

The third proportional to 201,609 and 282,573 is: 396,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,609 : 282,573 = 282,573 : x
  2. Step 2: Convert to fraction form
    201,609/282,573 = 282,573/x
  3. Step 3: Cross multiply
    201,609x = 282,573 × 282,573
  4. Step 4: Simplify right side
    201,609x = 79,847,500,329
  5. Step 5: Solve for x
    x = 79,847,500,329/201,609
  6. Step 6: Final answer
    x = 396,051.27

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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.