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Finding the Third Proportional to 192,462 and 302,337

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Solution

The third proportional to 192,462 and 302,337 is: 474,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,462 : 302,337 = 302,337 : x
  2. Step 2: Convert to fraction form
    192,462/302,337 = 302,337/x
  3. Step 3: Cross multiply
    192,462x = 302,337 × 302,337
  4. Step 4: Simplify right side
    192,462x = 91,407,661,569
  5. Step 5: Solve for x
    x = 91,407,661,569/192,462
  6. Step 6: Final answer
    x = 474,938.75

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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.