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Finding the Third Proportional to 154,972.50 and 227,149.50

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Solution

The third proportional to 154,972.50 and 227,149.50 is: 332,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,972.50 : 227,149.50 = 227,149.50 : x
  2. Step 2: Convert to fraction form
    154,972.50/227,149.50 = 227,149.50/x
  3. Step 3: Cross multiply
    154,972.50x = 227,149.50 × 227,149.50
  4. Step 4: Simplify right side
    154,972.50x = 51,596,895,350.25
  5. Step 5: Solve for x
    x = 51,596,895,350.25/154,972.50
  6. Step 6: Final answer
    x = 332,942.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.