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Finding the Third Proportional to 155,231.25 and 227,736

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Solution

The third proportional to 155,231.25 and 227,736 is: 334,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,231.25 : 227,736 = 227,736 : x
  2. Step 2: Convert to fraction form
    155,231.25/227,736 = 227,736/x
  3. Step 3: Cross multiply
    155,231.25x = 227,736 × 227,736
  4. Step 4: Simplify right side
    155,231.25x = 51,863,685,696
  5. Step 5: Solve for x
    x = 51,863,685,696/155,231.25
  6. Step 6: Final answer
    x = 334,105.96

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Why These Related Problems?

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