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Finding the Third Proportional to 196,116 and 294,118

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Solution

The third proportional to 196,116 and 294,118 is: 441,093.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,116 : 294,118 = 294,118 : x
  2. Step 2: Convert to fraction form
    196,116/294,118 = 294,118/x
  3. Step 3: Cross multiply
    196,116x = 294,118 × 294,118
  4. Step 4: Simplify right side
    196,116x = 86,505,397,924
  5. Step 5: Solve for x
    x = 86,505,397,924/196,116
  6. Step 6: Final answer
    x = 441,093.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.