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Finding the Third Proportional to 197,644.50 and 298,203.75

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Solution

The third proportional to 197,644.50 and 298,203.75 is: 449,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,644.50 : 298,203.75 = 298,203.75 : x
  2. Step 2: Convert to fraction form
    197,644.50/298,203.75 = 298,203.75/x
  3. Step 3: Cross multiply
    197,644.50x = 298,203.75 × 298,203.75
  4. Step 4: Simplify right side
    197,644.50x = 88,925,476,514.06
  5. Step 5: Solve for x
    x = 88,925,476,514.06/197,644.50
  6. Step 6: Final answer
    x = 449,926.39

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