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Finding the Third Proportional to 117,993 and 256,728

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Solution

The third proportional to 117,993 and 256,728 is: 558,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,993 : 256,728 = 256,728 : x
  2. Step 2: Convert to fraction form
    117,993/256,728 = 256,728/x
  3. Step 3: Cross multiply
    117,993x = 256,728 × 256,728
  4. Step 4: Simplify right side
    117,993x = 65,909,265,984
  5. Step 5: Solve for x
    x = 65,909,265,984/117,993
  6. Step 6: Final answer
    x = 558,586.24

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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.