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Finding the Third Proportional to 188,535.75 and 396,461.25

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Solution

The third proportional to 188,535.75 and 396,461.25 is: 833,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,535.75 : 396,461.25 = 396,461.25 : x
  2. Step 2: Convert to fraction form
    188,535.75/396,461.25 = 396,461.25/x
  3. Step 3: Cross multiply
    188,535.75x = 396,461.25 × 396,461.25
  4. Step 4: Simplify right side
    188,535.75x = 157,181,522,751.56
  5. Step 5: Solve for x
    x = 157,181,522,751.56/188,535.75
  6. Step 6: Final answer
    x = 833,696.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.