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Finding the Third Proportional to 131,319 and 192,318

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Solution

The third proportional to 131,319 and 192,318 is: 281,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,319 : 192,318 = 192,318 : x
  2. Step 2: Convert to fraction form
    131,319/192,318 = 192,318/x
  3. Step 3: Cross multiply
    131,319x = 192,318 × 192,318
  4. Step 4: Simplify right side
    131,319x = 36,986,213,124
  5. Step 5: Solve for x
    x = 36,986,213,124/131,319
  6. Step 6: Final answer
    x = 281,651.65

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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.