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Finding the Third Proportional to 192,838 and 415,274

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Solution

The third proportional to 192,838 and 415,274 is: 894,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,838 : 415,274 = 415,274 : x
  2. Step 2: Convert to fraction form
    192,838/415,274 = 415,274/x
  3. Step 3: Cross multiply
    192,838x = 415,274 × 415,274
  4. Step 4: Simplify right side
    192,838x = 172,452,495,076
  5. Step 5: Solve for x
    x = 172,452,495,076/192,838
  6. Step 6: Final answer
    x = 894,286.89

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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.