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Finding the Third Proportional to 190,692 and 414,188

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Solution

The third proportional to 190,692 and 414,188 is: 899,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,692 : 414,188 = 414,188 : x
  2. Step 2: Convert to fraction form
    190,692/414,188 = 414,188/x
  3. Step 3: Cross multiply
    190,692x = 414,188 × 414,188
  4. Step 4: Simplify right side
    190,692x = 171,551,699,344
  5. Step 5: Solve for x
    x = 171,551,699,344/190,692
  6. Step 6: Final answer
    x = 899,627.14

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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.