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Finding the Third Proportional to 196,186 and 294,879

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Solution

The third proportional to 196,186 and 294,879 is: 443,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,186 : 294,879 = 294,879 : x
  2. Step 2: Convert to fraction form
    196,186/294,879 = 294,879/x
  3. Step 3: Cross multiply
    196,186x = 294,879 × 294,879
  4. Step 4: Simplify right side
    196,186x = 86,953,624,641
  5. Step 5: Solve for x
    x = 86,953,624,641/196,186
  6. Step 6: Final answer
    x = 443,220.33

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Why These Related Problems?

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