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Finding the Third Proportional to 193,606 and 416,877

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Solution

The third proportional to 193,606 and 416,877 is: 897,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,606 : 416,877 = 416,877 : x
  2. Step 2: Convert to fraction form
    193,606/416,877 = 416,877/x
  3. Step 3: Cross multiply
    193,606x = 416,877 × 416,877
  4. Step 4: Simplify right side
    193,606x = 173,786,433,129
  5. Step 5: Solve for x
    x = 173,786,433,129/193,606
  6. Step 6: Final answer
    x = 897,629.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.