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Finding the Third Proportional to 190,686 and 414,175

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Solution

The third proportional to 190,686 and 414,175 is: 899,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,686 : 414,175 = 414,175 : x
  2. Step 2: Convert to fraction form
    190,686/414,175 = 414,175/x
  3. Step 3: Cross multiply
    190,686x = 414,175 × 414,175
  4. Step 4: Simplify right side
    190,686x = 171,540,930,625
  5. Step 5: Solve for x
    x = 171,540,930,625/190,686
  6. Step 6: Final answer
    x = 899,598.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.