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Finding the Third Proportional to 252,826.50 and 543,172.50

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Solution

The third proportional to 252,826.50 and 543,172.50 is: 1,166,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,826.50 : 543,172.50 = 543,172.50 : x
  2. Step 2: Convert to fraction form
    252,826.50/543,172.50 = 543,172.50/x
  3. Step 3: Cross multiply
    252,826.50x = 543,172.50 × 543,172.50
  4. Step 4: Simplify right side
    252,826.50x = 295,036,364,756.25
  5. Step 5: Solve for x
    x = 295,036,364,756.25/252,826.50
  6. Step 6: Final answer
    x = 1,166,951.90

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Why These Related Problems?

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