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Finding the Third Proportional to 194,225 and 305,194

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Solution

The third proportional to 194,225 and 305,194 is: 479,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,225 : 305,194 = 305,194 : x
  2. Step 2: Convert to fraction form
    194,225/305,194 = 305,194/x
  3. Step 3: Cross multiply
    194,225x = 305,194 × 305,194
  4. Step 4: Simplify right side
    194,225x = 93,143,377,636
  5. Step 5: Solve for x
    x = 93,143,377,636/194,225
  6. Step 6: Final answer
    x = 479,564.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.