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Finding the Third Proportional to 193,260 and 412,194

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Solution

The third proportional to 193,260 and 412,194 is: 879,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,260 : 412,194 = 412,194 : x
  2. Step 2: Convert to fraction form
    193,260/412,194 = 412,194/x
  3. Step 3: Cross multiply
    193,260x = 412,194 × 412,194
  4. Step 4: Simplify right side
    193,260x = 169,903,893,636
  5. Step 5: Solve for x
    x = 169,903,893,636/193,260
  6. Step 6: Final answer
    x = 879,146.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.