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Finding the Third Proportional to 188,935 and 399,197

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Solution

The third proportional to 188,935 and 399,197 is: 843,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,935 : 399,197 = 399,197 : x
  2. Step 2: Convert to fraction form
    188,935/399,197 = 399,197/x
  3. Step 3: Cross multiply
    188,935x = 399,197 × 399,197
  4. Step 4: Simplify right side
    188,935x = 159,358,244,809
  5. Step 5: Solve for x
    x = 159,358,244,809/188,935
  6. Step 6: Final answer
    x = 843,455.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.