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Finding the Third Proportional to 94,178 and 196,024

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Solution

The third proportional to 94,178 and 196,024 is: 408,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,178 : 196,024 = 196,024 : x
  2. Step 2: Convert to fraction form
    94,178/196,024 = 196,024/x
  3. Step 3: Cross multiply
    94,178x = 196,024 × 196,024
  4. Step 4: Simplify right side
    94,178x = 38,425,408,576
  5. Step 5: Solve for x
    x = 38,425,408,576/94,178
  6. Step 6: Final answer
    x = 408,008.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.