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Finding the Third Proportional to 190,684 and 419,576

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Solution

The third proportional to 190,684 and 419,576 is: 923,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,684 : 419,576 = 419,576 : x
  2. Step 2: Convert to fraction form
    190,684/419,576 = 419,576/x
  3. Step 3: Cross multiply
    190,684x = 419,576 × 419,576
  4. Step 4: Simplify right side
    190,684x = 176,044,019,776
  5. Step 5: Solve for x
    x = 176,044,019,776/190,684
  6. Step 6: Final answer
    x = 923,223.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.