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Finding the Third Proportional to 197,494.50 and 297,986.25

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Solution

The third proportional to 197,494.50 and 297,986.25 is: 449,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,494.50 : 297,986.25 = 297,986.25 : x
  2. Step 2: Convert to fraction form
    197,494.50/297,986.25 = 297,986.25/x
  3. Step 3: Cross multiply
    197,494.50x = 297,986.25 × 297,986.25
  4. Step 4: Simplify right side
    197,494.50x = 88,795,805,189.06
  5. Step 5: Solve for x
    x = 88,795,805,189.06/197,494.50
  6. Step 6: Final answer
    x = 449,611.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.