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Finding the Third Proportional to 198,047.53 and 298,019.25

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Solution

The third proportional to 198,047.53 and 298,019.25 is: 448,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,047.53 : 298,019.25 = 298,019.25 : x
  2. Step 2: Convert to fraction form
    198,047.53/298,019.25 = 298,019.25/x
  3. Step 3: Cross multiply
    198,047.53x = 298,019.25 × 298,019.25
  4. Step 4: Simplify right side
    198,047.53x = 88,815,473,370.56
  5. Step 5: Solve for x
    x = 88,815,473,370.56/198,047.53
  6. Step 6: Final answer
    x = 448,455.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.