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Finding the Third Proportional to 131,360 and 192,380

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Solution

The third proportional to 131,360 and 192,380 is: 281,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,360 : 192,380 = 192,380 : x
  2. Step 2: Convert to fraction form
    131,360/192,380 = 192,380/x
  3. Step 3: Cross multiply
    131,360x = 192,380 × 192,380
  4. Step 4: Simplify right side
    131,360x = 37,010,064,400
  5. Step 5: Solve for x
    x = 37,010,064,400/131,360
  6. Step 6: Final answer
    x = 281,745.31

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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.