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Finding the Third Proportional to 252,814.92 and 543,150.56

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Solution

The third proportional to 252,814.92 and 543,150.56 is: 1,166,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,814.92 : 543,150.56 = 543,150.56 : x
  2. Step 2: Convert to fraction form
    252,814.92/543,150.56 = 543,150.56/x
  3. Step 3: Cross multiply
    252,814.92x = 543,150.56 × 543,150.56
  4. Step 4: Simplify right side
    252,814.92x = 295,012,533,544.07
  5. Step 5: Solve for x
    x = 295,012,533,544.07/252,814.92
  6. Step 6: Final answer
    x = 1,166,911.08

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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.