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Finding the Third Proportional to 118,760.44 and 178,296.56

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Solution

The third proportional to 118,760.44 and 178,296.56 is: 267,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,760.44 : 178,296.56 = 178,296.56 : x
  2. Step 2: Convert to fraction form
    118,760.44/178,296.56 = 178,296.56/x
  3. Step 3: Cross multiply
    118,760.44x = 178,296.56 × 178,296.56
  4. Step 4: Simplify right side
    118,760.44x = 31,789,664,199.32
  5. Step 5: Solve for x
    x = 31,789,664,199.32/118,760.44
  6. Step 6: Final answer
    x = 267,678.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.