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Finding the Third Proportional to 223,096 and 434,981

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Solution

The third proportional to 223,096 and 434,981 is: 848,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,096 : 434,981 = 434,981 : x
  2. Step 2: Convert to fraction form
    223,096/434,981 = 434,981/x
  3. Step 3: Cross multiply
    223,096x = 434,981 × 434,981
  4. Step 4: Simplify right side
    223,096x = 189,208,470,361
  5. Step 5: Solve for x
    x = 189,208,470,361/223,096
  6. Step 6: Final answer
    x = 848,103.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.