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Finding the Third Proportional to 201,786.75 and 424,485

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Solution

The third proportional to 201,786.75 and 424,485 is: 892,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,786.75 : 424,485 = 424,485 : x
  2. Step 2: Convert to fraction form
    201,786.75/424,485 = 424,485/x
  3. Step 3: Cross multiply
    201,786.75x = 424,485 × 424,485
  4. Step 4: Simplify right side
    201,786.75x = 180,187,515,225
  5. Step 5: Solve for x
    x = 180,187,515,225/201,786.75
  6. Step 6: Final answer
    x = 892,960.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.