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Finding the Third Proportional to 131,368 and 192,394

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Solution

The third proportional to 131,368 and 192,394 is: 281,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,368 : 192,394 = 192,394 : x
  2. Step 2: Convert to fraction form
    131,368/192,394 = 192,394/x
  3. Step 3: Cross multiply
    131,368x = 192,394 × 192,394
  4. Step 4: Simplify right side
    131,368x = 37,015,451,236
  5. Step 5: Solve for x
    x = 37,015,451,236/131,368
  6. Step 6: Final answer
    x = 281,769.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.