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Finding the Third Proportional to 155,131 and 227,766

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Solution

The third proportional to 155,131 and 227,766 is: 334,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,131 : 227,766 = 227,766 : x
  2. Step 2: Convert to fraction form
    155,131/227,766 = 227,766/x
  3. Step 3: Cross multiply
    155,131x = 227,766 × 227,766
  4. Step 4: Simplify right side
    155,131x = 51,877,350,756
  5. Step 5: Solve for x
    x = 51,877,350,756/155,131
  6. Step 6: Final answer
    x = 334,409.96

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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.