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Finding the Third Proportional to 193,446 and 426,122

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Solution

The third proportional to 193,446 and 426,122 is: 938,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,446 : 426,122 = 426,122 : x
  2. Step 2: Convert to fraction form
    193,446/426,122 = 426,122/x
  3. Step 3: Cross multiply
    193,446x = 426,122 × 426,122
  4. Step 4: Simplify right side
    193,446x = 181,579,958,884
  5. Step 5: Solve for x
    x = 181,579,958,884/193,446
  6. Step 6: Final answer
    x = 938,659.67

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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.