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Finding the Third Proportional to 166,039.88 and 356,268.38

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Solution

The third proportional to 166,039.88 and 356,268.38 is: 764,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,039.88 : 356,268.38 = 356,268.38 : x
  2. Step 2: Convert to fraction form
    166,039.88/356,268.38 = 356,268.38/x
  3. Step 3: Cross multiply
    166,039.88x = 356,268.38 × 356,268.38
  4. Step 4: Simplify right side
    166,039.88x = 126,927,155,025.14
  5. Step 5: Solve for x
    x = 126,927,155,025.14/166,039.88
  6. Step 6: Final answer
    x = 764,437.79

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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.