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Finding the Third Proportional to 83,302 and 181,394

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Solution

The third proportional to 83,302 and 181,394 is: 394,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302 : 181,394 = 181,394 : x
  2. Step 2: Convert to fraction form
    83,302/181,394 = 181,394/x
  3. Step 3: Cross multiply
    83,302x = 181,394 × 181,394
  4. Step 4: Simplify right side
    83,302x = 32,903,783,236
  5. Step 5: Solve for x
    x = 32,903,783,236/83,302
  6. Step 6: Final answer
    x = 394,993.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.