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Finding the Third Proportional to 171,121.50 and 227,097

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Solution

The third proportional to 171,121.50 and 227,097 is: 301,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,121.50 : 227,097 = 227,097 : x
  2. Step 2: Convert to fraction form
    171,121.50/227,097 = 227,097/x
  3. Step 3: Cross multiply
    171,121.50x = 227,097 × 227,097
  4. Step 4: Simplify right side
    171,121.50x = 51,573,047,409
  5. Step 5: Solve for x
    x = 51,573,047,409/171,121.50
  6. Step 6: Final answer
    x = 301,382.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.