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Finding the Third Proportional to 192,924 and 298,692

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Solution

The third proportional to 192,924 and 298,692 is: 462,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,924 : 298,692 = 298,692 : x
  2. Step 2: Convert to fraction form
    192,924/298,692 = 298,692/x
  3. Step 3: Cross multiply
    192,924x = 298,692 × 298,692
  4. Step 4: Simplify right side
    192,924x = 89,216,910,864
  5. Step 5: Solve for x
    x = 89,216,910,864/192,924
  6. Step 6: Final answer
    x = 462,445.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.