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Finding the Third Proportional to 197,122.50 and 301,596.75

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Solution

The third proportional to 197,122.50 and 301,596.75 is: 461,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,122.50 : 301,596.75 = 301,596.75 : x
  2. Step 2: Convert to fraction form
    197,122.50/301,596.75 = 301,596.75/x
  3. Step 3: Cross multiply
    197,122.50x = 301,596.75 × 301,596.75
  4. Step 4: Simplify right side
    197,122.50x = 90,960,599,610.56
  5. Step 5: Solve for x
    x = 90,960,599,610.56/197,122.50
  6. Step 6: Final answer
    x = 461,441.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.