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Finding the Third Proportional to 201,783 and 303,153

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Solution

The third proportional to 201,783 and 303,153 is: 455,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,783 : 303,153 = 303,153 : x
  2. Step 2: Convert to fraction form
    201,783/303,153 = 303,153/x
  3. Step 3: Cross multiply
    201,783x = 303,153 × 303,153
  4. Step 4: Simplify right side
    201,783x = 91,901,741,409
  5. Step 5: Solve for x
    x = 91,901,741,409/201,783
  6. Step 6: Final answer
    x = 455,448.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.