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Finding the Third Proportional to 117,940.50 and 256,617

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Solution

The third proportional to 117,940.50 and 256,617 is: 558,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,940.50 : 256,617 = 256,617 : x
  2. Step 2: Convert to fraction form
    117,940.50/256,617 = 256,617/x
  3. Step 3: Cross multiply
    117,940.50x = 256,617 × 256,617
  4. Step 4: Simplify right side
    117,940.50x = 65,852,284,689
  5. Step 5: Solve for x
    x = 65,852,284,689/117,940.50
  6. Step 6: Final answer
    x = 558,351.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.