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Finding the Third Proportional to 192,258 and 414,099

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Solution

The third proportional to 192,258 and 414,099 is: 891,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,258 : 414,099 = 414,099 : x
  2. Step 2: Convert to fraction form
    192,258/414,099 = 414,099/x
  3. Step 3: Cross multiply
    192,258x = 414,099 × 414,099
  4. Step 4: Simplify right side
    192,258x = 171,477,981,801
  5. Step 5: Solve for x
    x = 171,477,981,801/192,258
  6. Step 6: Final answer
    x = 891,915.98

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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.