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Finding the Third Proportional to 201,743 and 303,485

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Solution

The third proportional to 201,743 and 303,485 is: 456,537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,743 : 303,485 = 303,485 : x
  2. Step 2: Convert to fraction form
    201,743/303,485 = 303,485/x
  3. Step 3: Cross multiply
    201,743x = 303,485 × 303,485
  4. Step 4: Simplify right side
    201,743x = 92,103,145,225
  5. Step 5: Solve for x
    x = 92,103,145,225/201,743
  6. Step 6: Final answer
    x = 456,537.01

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