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Finding the Third Proportional to 194,025.38 and 416,400.75

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Solution

The third proportional to 194,025.38 and 416,400.75 is: 893,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,025.38 : 416,400.75 = 416,400.75 : x
  2. Step 2: Convert to fraction form
    194,025.38/416,400.75 = 416,400.75/x
  3. Step 3: Cross multiply
    194,025.38x = 416,400.75 × 416,400.75
  4. Step 4: Simplify right side
    194,025.38x = 173,389,584,600.56
  5. Step 5: Solve for x
    x = 173,389,584,600.56/194,025.38
  6. Step 6: Final answer
    x = 893,643.86

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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.