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Finding the Third Proportional to 118,405.50 and 253,698

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Solution

The third proportional to 118,405.50 and 253,698 is: 543,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,405.50 : 253,698 = 253,698 : x
  2. Step 2: Convert to fraction form
    118,405.50/253,698 = 253,698/x
  3. Step 3: Cross multiply
    118,405.50x = 253,698 × 253,698
  4. Step 4: Simplify right side
    118,405.50x = 64,362,675,204
  5. Step 5: Solve for x
    x = 64,362,675,204/118,405.50
  6. Step 6: Final answer
    x = 543,578.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.