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Finding the Third Proportional to 192,818 and 415,242

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Solution

The third proportional to 192,818 and 415,242 is: 894,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,818 : 415,242 = 415,242 : x
  2. Step 2: Convert to fraction form
    192,818/415,242 = 415,242/x
  3. Step 3: Cross multiply
    192,818x = 415,242 × 415,242
  4. Step 4: Simplify right side
    192,818x = 172,425,918,564
  5. Step 5: Solve for x
    x = 172,425,918,564/192,818
  6. Step 6: Final answer
    x = 894,241.82

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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.