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Finding the Third Proportional to 192,258.38 and 414,099.38

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Solution

The third proportional to 192,258.38 and 414,099.38 is: 891,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,258.38 : 414,099.38 = 414,099.38 : x
  2. Step 2: Convert to fraction form
    192,258.38/414,099.38 = 414,099.38/x
  3. Step 3: Cross multiply
    192,258.38x = 414,099.38 × 414,099.38
  4. Step 4: Simplify right side
    192,258.38x = 171,478,292,375.39
  5. Step 5: Solve for x
    x = 171,478,292,375.39/192,258.38
  6. Step 6: Final answer
    x = 891,915.85

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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.