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Finding the Third Proportional to 193,609.48 and 419,396.55

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Solution

The third proportional to 193,609.48 and 419,396.55 is: 908,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,609.48 : 419,396.55 = 419,396.55 : x
  2. Step 2: Convert to fraction form
    193,609.48/419,396.55 = 419,396.55/x
  3. Step 3: Cross multiply
    193,609.48x = 419,396.55 × 419,396.55
  4. Step 4: Simplify right side
    193,609.48x = 175,893,470,083.75
  5. Step 5: Solve for x
    x = 175,893,470,083.75/193,609.48
  6. Step 6: Final answer
    x = 908,496.18

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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.