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Finding the Third Proportional to 193,657.88 and 419,475.38

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Solution

The third proportional to 193,657.88 and 419,475.38 is: 908,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,657.88 : 419,475.38 = 419,475.38 : x
  2. Step 2: Convert to fraction form
    193,657.88/419,475.38 = 419,475.38/x
  3. Step 3: Cross multiply
    193,657.88x = 419,475.38 × 419,475.38
  4. Step 4: Simplify right side
    193,657.88x = 175,959,590,231.39
  5. Step 5: Solve for x
    x = 175,959,590,231.39/193,657.88
  6. Step 6: Final answer
    x = 908,610.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.