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Finding the Third Proportional to 193,609.34 and 419,396.27

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Solution

The third proportional to 193,609.34 and 419,396.27 is: 908,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,609.34 : 419,396.27 = 419,396.27 : x
  2. Step 2: Convert to fraction form
    193,609.34/419,396.27 = 419,396.27/x
  3. Step 3: Cross multiply
    193,609.34x = 419,396.27 × 419,396.27
  4. Step 4: Simplify right side
    193,609.34x = 175,893,234,173.26
  5. Step 5: Solve for x
    x = 175,893,234,173.26/193,609.34
  6. Step 6: Final answer
    x = 908,495.62

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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.