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Finding the Third Proportional to 201,183.75 and 435,037.50

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Solution

The third proportional to 201,183.75 and 435,037.50 is: 940,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,183.75 : 435,037.50 = 435,037.50 : x
  2. Step 2: Convert to fraction form
    201,183.75/435,037.50 = 435,037.50/x
  3. Step 3: Cross multiply
    201,183.75x = 435,037.50 × 435,037.50
  4. Step 4: Simplify right side
    201,183.75x = 189,257,626,406.25
  5. Step 5: Solve for x
    x = 189,257,626,406.25/201,183.75
  6. Step 6: Final answer
    x = 940,720.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.