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Finding the Third Proportional to 201,737 and 303,476

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Solution

The third proportional to 201,737 and 303,476 is: 456,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,737 : 303,476 = 303,476 : x
  2. Step 2: Convert to fraction form
    201,737/303,476 = 303,476/x
  3. Step 3: Cross multiply
    201,737x = 303,476 × 303,476
  4. Step 4: Simplify right side
    201,737x = 92,097,682,576
  5. Step 5: Solve for x
    x = 92,097,682,576/201,737
  6. Step 6: Final answer
    x = 456,523.51

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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.