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Finding the Third Proportional to 133,568 and 208,011

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Solution

The third proportional to 133,568 and 208,011 is: 323,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,568 : 208,011 = 208,011 : x
  2. Step 2: Convert to fraction form
    133,568/208,011 = 208,011/x
  3. Step 3: Cross multiply
    133,568x = 208,011 × 208,011
  4. Step 4: Simplify right side
    133,568x = 43,268,576,121
  5. Step 5: Solve for x
    x = 43,268,576,121/133,568
  6. Step 6: Final answer
    x = 323,944.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.