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Finding the Third Proportional to 201,361.50 and 282,206.25

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Solution

The third proportional to 201,361.50 and 282,206.25 is: 395,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,361.50 : 282,206.25 = 282,206.25 : x
  2. Step 2: Convert to fraction form
    201,361.50/282,206.25 = 282,206.25/x
  3. Step 3: Cross multiply
    201,361.50x = 282,206.25 × 282,206.25
  4. Step 4: Simplify right side
    201,361.50x = 79,640,367,539.06
  5. Step 5: Solve for x
    x = 79,640,367,539.06/201,361.50
  6. Step 6: Final answer
    x = 395,509.41

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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.