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Finding the Third Proportional to 203,911 and 448,161

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Solution

The third proportional to 203,911 and 448,161 is: 984,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,911 : 448,161 = 448,161 : x
  2. Step 2: Convert to fraction form
    203,911/448,161 = 448,161/x
  3. Step 3: Cross multiply
    203,911x = 448,161 × 448,161
  4. Step 4: Simplify right side
    203,911x = 200,848,281,921
  5. Step 5: Solve for x
    x = 200,848,281,921/203,911
  6. Step 6: Final answer
    x = 984,980.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.