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Finding the Third Proportional to 201,733.75 and 282,725.25

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Solution

The third proportional to 201,733.75 and 282,725.25 is: 396,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,733.75 : 282,725.25 = 282,725.25 : x
  2. Step 2: Convert to fraction form
    201,733.75/282,725.25 = 282,725.25/x
  3. Step 3: Cross multiply
    201,733.75x = 282,725.25 × 282,725.25
  4. Step 4: Simplify right side
    201,733.75x = 79,933,566,987.56
  5. Step 5: Solve for x
    x = 79,933,566,987.56/201,733.75
  6. Step 6: Final answer
    x = 396,232.99

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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.