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Finding the Third Proportional to 197,849.25 and 466,575.75

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Solution

The third proportional to 197,849.25 and 466,575.75 is: 1,100,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,849.25 : 466,575.75 = 466,575.75 : x
  2. Step 2: Convert to fraction form
    197,849.25/466,575.75 = 466,575.75/x
  3. Step 3: Cross multiply
    197,849.25x = 466,575.75 × 466,575.75
  4. Step 4: Simplify right side
    197,849.25x = 217,692,930,488.06
  5. Step 5: Solve for x
    x = 217,692,930,488.06/197,849.25
  6. Step 6: Final answer
    x = 1,100,296.97

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.