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Finding the Third Proportional to 196,112 and 294,112

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Solution

The third proportional to 196,112 and 294,112 is: 441,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,112 : 294,112 = 294,112 : x
  2. Step 2: Convert to fraction form
    196,112/294,112 = 294,112/x
  3. Step 3: Cross multiply
    196,112x = 294,112 × 294,112
  4. Step 4: Simplify right side
    196,112x = 86,501,868,544
  5. Step 5: Solve for x
    x = 86,501,868,544/196,112
  6. Step 6: Final answer
    x = 441,084.02

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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.