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Finding the Third Proportional to 190,390.50 and 414,936

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Solution

The third proportional to 190,390.50 and 414,936 is: 904,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,390.50 : 414,936 = 414,936 : x
  2. Step 2: Convert to fraction form
    190,390.50/414,936 = 414,936/x
  3. Step 3: Cross multiply
    190,390.50x = 414,936 × 414,936
  4. Step 4: Simplify right side
    190,390.50x = 172,171,884,096
  5. Step 5: Solve for x
    x = 172,171,884,096/190,390.50
  6. Step 6: Final answer
    x = 904,309.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.