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Finding the Third Proportional to 209.63 and 441.38

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Solution

The third proportional to 209.63 and 441.38 is: 929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.63 : 441.38 = 441.38 : x
  2. Step 2: Convert to fraction form
    209.63/441.38 = 441.38/x
  3. Step 3: Cross multiply
    209.63x = 441.38 × 441.38
  4. Step 4: Simplify right side
    209.63x = 194,811.89
  5. Step 5: Solve for x
    x = 194,811.89/209.63
  6. Step 6: Final answer
    x = 929.34

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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.