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Finding the Third Proportional to 252,837 and 543,193.75

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Solution

The third proportional to 252,837 and 543,193.75 is: 1,166,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,837 : 543,193.75 = 543,193.75 : x
  2. Step 2: Convert to fraction form
    252,837/543,193.75 = 543,193.75/x
  3. Step 3: Cross multiply
    252,837x = 543,193.75 × 543,193.75
  4. Step 4: Simplify right side
    252,837x = 295,059,450,039.06
  5. Step 5: Solve for x
    x = 295,059,450,039.06/252,837
  6. Step 6: Final answer
    x = 1,166,994.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.