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Finding the Third Proportional to 198,375.75 and 301,716

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Solution

The third proportional to 198,375.75 and 301,716 is: 458,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,375.75 : 301,716 = 301,716 : x
  2. Step 2: Convert to fraction form
    198,375.75/301,716 = 301,716/x
  3. Step 3: Cross multiply
    198,375.75x = 301,716 × 301,716
  4. Step 4: Simplify right side
    198,375.75x = 91,032,544,656
  5. Step 5: Solve for x
    x = 91,032,544,656/198,375.75
  6. Step 6: Final answer
    x = 458,889.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.