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Finding the Third Proportional to 227,124 and 308,586.38

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Solution

The third proportional to 227,124 and 308,586.38 is: 419,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,124 : 308,586.38 = 308,586.38 : x
  2. Step 2: Convert to fraction form
    227,124/308,586.38 = 308,586.38/x
  3. Step 3: Cross multiply
    227,124x = 308,586.38 × 308,586.38
  4. Step 4: Simplify right side
    227,124x = 95,225,550,835.64
  5. Step 5: Solve for x
    x = 95,225,550,835.64/227,124
  6. Step 6: Final answer
    x = 419,266.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.