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Finding the Third Proportional to 201,360 and 282,208

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Solution

The third proportional to 201,360 and 282,208 is: 395,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,360 : 282,208 = 282,208 : x
  2. Step 2: Convert to fraction form
    201,360/282,208 = 282,208/x
  3. Step 3: Cross multiply
    201,360x = 282,208 × 282,208
  4. Step 4: Simplify right side
    201,360x = 79,641,355,264
  5. Step 5: Solve for x
    x = 79,641,355,264/201,360
  6. Step 6: Final answer
    x = 395,517.26

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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.