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Finding the Third Proportional to 176,010.75 and 378,546.75

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Solution

The third proportional to 176,010.75 and 378,546.75 is: 814,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,010.75 : 378,546.75 = 378,546.75 : x
  2. Step 2: Convert to fraction form
    176,010.75/378,546.75 = 378,546.75/x
  3. Step 3: Cross multiply
    176,010.75x = 378,546.75 × 378,546.75
  4. Step 4: Simplify right side
    176,010.75x = 143,297,641,935.56
  5. Step 5: Solve for x
    x = 143,297,641,935.56/176,010.75
  6. Step 6: Final answer
    x = 814,141.42

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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.