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Finding the Third Proportional to 116,571.38 and 180,546.75

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Solution

The third proportional to 116,571.38 and 180,546.75 is: 279,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,571.38 : 180,546.75 = 180,546.75 : x
  2. Step 2: Convert to fraction form
    116,571.38/180,546.75 = 180,546.75/x
  3. Step 3: Cross multiply
    116,571.38x = 180,546.75 × 180,546.75
  4. Step 4: Simplify right side
    116,571.38x = 32,597,128,935.56
  5. Step 5: Solve for x
    x = 32,597,128,935.56/116,571.38
  6. Step 6: Final answer
    x = 279,632.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.