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Finding the Third Proportional to 190,986 and 415,956

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Solution

The third proportional to 190,986 and 415,956 is: 905,927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,986 : 415,956 = 415,956 : x
  2. Step 2: Convert to fraction form
    190,986/415,956 = 415,956/x
  3. Step 3: Cross multiply
    190,986x = 415,956 × 415,956
  4. Step 4: Simplify right side
    190,986x = 173,019,393,936
  5. Step 5: Solve for x
    x = 173,019,393,936/190,986
  6. Step 6: Final answer
    x = 905,927.10

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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.