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Finding the Third Proportional to 58,296 and 140,328

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Solution

The third proportional to 58,296 and 140,328 is: 337,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,296 : 140,328 = 140,328 : x
  2. Step 2: Convert to fraction form
    58,296/140,328 = 140,328/x
  3. Step 3: Cross multiply
    58,296x = 140,328 × 140,328
  4. Step 4: Simplify right side
    58,296x = 19,691,947,584
  5. Step 5: Solve for x
    x = 19,691,947,584/58,296
  6. Step 6: Final answer
    x = 337,792.43

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.