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Finding the Third Proportional to 166,285.88 and 376,963.75

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Solution

The third proportional to 166,285.88 and 376,963.75 is: 854,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,285.88 : 376,963.75 = 376,963.75 : x
  2. Step 2: Convert to fraction form
    166,285.88/376,963.75 = 376,963.75/x
  3. Step 3: Cross multiply
    166,285.88x = 376,963.75 × 376,963.75
  4. Step 4: Simplify right side
    166,285.88x = 142,101,668,814.06
  5. Step 5: Solve for x
    x = 142,101,668,814.06/166,285.88
  6. Step 6: Final answer
    x = 854,562.47

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.