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Finding the Third Proportional to 201,733 and 282,723

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Solution

The third proportional to 201,733 and 282,723 is: 396,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,733 : 282,723 = 282,723 : x
  2. Step 2: Convert to fraction form
    201,733/282,723 = 282,723/x
  3. Step 3: Cross multiply
    201,733x = 282,723 × 282,723
  4. Step 4: Simplify right side
    201,733x = 79,932,294,729
  5. Step 5: Solve for x
    x = 79,932,294,729/201,733
  6. Step 6: Final answer
    x = 396,228.16

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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.