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Finding the Third Proportional to 190,912 and 280,524

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Solution

The third proportional to 190,912 and 280,524 is: 412,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,912 : 280,524 = 280,524 : x
  2. Step 2: Convert to fraction form
    190,912/280,524 = 280,524/x
  3. Step 3: Cross multiply
    190,912x = 280,524 × 280,524
  4. Step 4: Simplify right side
    190,912x = 78,693,714,576
  5. Step 5: Solve for x
    x = 78,693,714,576/190,912
  6. Step 6: Final answer
    x = 412,198.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.