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Finding the Third Proportional to 174,375.28 and 364,522.78

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Solution

The third proportional to 174,375.28 and 364,522.78 is: 762,016.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,375.28 : 364,522.78 = 364,522.78 : x
  2. Step 2: Convert to fraction form
    174,375.28/364,522.78 = 364,522.78/x
  3. Step 3: Cross multiply
    174,375.28x = 364,522.78 × 364,522.78
  4. Step 4: Simplify right side
    174,375.28x = 132,876,858,050.24
  5. Step 5: Solve for x
    x = 132,876,858,050.24/174,375.28
  6. Step 6: Final answer
    x = 762,016.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.