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Finding the Third Proportional to 117,687.94 and 257,382.56

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Solution

The third proportional to 117,687.94 and 257,382.56 is: 562,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,687.94 : 257,382.56 = 257,382.56 : x
  2. Step 2: Convert to fraction form
    117,687.94/257,382.56 = 257,382.56/x
  3. Step 3: Cross multiply
    117,687.94x = 257,382.56 × 257,382.56
  4. Step 4: Simplify right side
    117,687.94x = 66,245,783,479.07
  5. Step 5: Solve for x
    x = 66,245,783,479.07/117,687.94
  6. Step 6: Final answer
    x = 562,893.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.