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Finding the Third Proportional to 201,737.25 and 475,537.50

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Solution

The third proportional to 201,737.25 and 475,537.50 is: 1,120,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,737.25 : 475,537.50 = 475,537.50 : x
  2. Step 2: Convert to fraction form
    201,737.25/475,537.50 = 475,537.50/x
  3. Step 3: Cross multiply
    201,737.25x = 475,537.50 × 475,537.50
  4. Step 4: Simplify right side
    201,737.25x = 226,135,913,906.25
  5. Step 5: Solve for x
    x = 226,135,913,906.25/201,737.25
  6. Step 6: Final answer
    x = 1,120,942.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.