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Finding the Third Proportional to 193,672.69 and 419,504.06

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Solution

The third proportional to 193,672.69 and 419,504.06 is: 908,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,672.69 : 419,504.06 = 419,504.06 : x
  2. Step 2: Convert to fraction form
    193,672.69/419,504.06 = 419,504.06/x
  3. Step 3: Cross multiply
    193,672.69x = 419,504.06 × 419,504.06
  4. Step 4: Simplify right side
    193,672.69x = 175,983,658,454.00
  5. Step 5: Solve for x
    x = 175,983,658,454.00/193,672.69
  6. Step 6: Final answer
    x = 908,665.34

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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.