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Finding the Third Proportional to 209,190 and 432,204

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Solution

The third proportional to 209,190 and 432,204 is: 892,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,190 : 432,204 = 432,204 : x
  2. Step 2: Convert to fraction form
    209,190/432,204 = 432,204/x
  3. Step 3: Cross multiply
    209,190x = 432,204 × 432,204
  4. Step 4: Simplify right side
    209,190x = 186,800,297,616
  5. Step 5: Solve for x
    x = 186,800,297,616/209,190
  6. Step 6: Final answer
    x = 892,969.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.