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Finding the Third Proportional to 192,470 and 302,349

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Solution

The third proportional to 192,470 and 302,349 is: 474,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,470 : 302,349 = 302,349 : x
  2. Step 2: Convert to fraction form
    192,470/302,349 = 302,349/x
  3. Step 3: Cross multiply
    192,470x = 302,349 × 302,349
  4. Step 4: Simplify right side
    192,470x = 91,414,917,801
  5. Step 5: Solve for x
    x = 91,414,917,801/192,470
  6. Step 6: Final answer
    x = 474,956.71

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