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Finding the Third Proportional to 192,678 and 302,649

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Solution

The third proportional to 192,678 and 302,649 is: 475,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,678 : 302,649 = 302,649 : x
  2. Step 2: Convert to fraction form
    192,678/302,649 = 302,649/x
  3. Step 3: Cross multiply
    192,678x = 302,649 × 302,649
  4. Step 4: Simplify right side
    192,678x = 91,596,417,201
  5. Step 5: Solve for x
    x = 91,596,417,201/192,678
  6. Step 6: Final answer
    x = 475,385.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.