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Finding the Third Proportional to 192,170 and 308,769

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Solution

The third proportional to 192,170 and 308,769 is: 496,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,170 : 308,769 = 308,769 : x
  2. Step 2: Convert to fraction form
    192,170/308,769 = 308,769/x
  3. Step 3: Cross multiply
    192,170x = 308,769 × 308,769
  4. Step 4: Simplify right side
    192,170x = 95,338,295,361
  5. Step 5: Solve for x
    x = 95,338,295,361/192,170
  6. Step 6: Final answer
    x = 496,114.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.