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Finding the Third Proportional to 192,834 and 415,260

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Solution

The third proportional to 192,834 and 415,260 is: 894,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,834 : 415,260 = 415,260 : x
  2. Step 2: Convert to fraction form
    192,834/415,260 = 415,260/x
  3. Step 3: Cross multiply
    192,834x = 415,260 × 415,260
  4. Step 4: Simplify right side
    192,834x = 172,440,867,600
  5. Step 5: Solve for x
    x = 172,440,867,600/192,834
  6. Step 6: Final answer
    x = 894,245.14

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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.