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Finding the Third Proportional to 171,955.50 and 193,279.50

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Solution

The third proportional to 171,955.50 and 193,279.50 is: 217,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,955.50 : 193,279.50 = 193,279.50 : x
  2. Step 2: Convert to fraction form
    171,955.50/193,279.50 = 193,279.50/x
  3. Step 3: Cross multiply
    171,955.50x = 193,279.50 × 193,279.50
  4. Step 4: Simplify right side
    171,955.50x = 37,356,965,120.25
  5. Step 5: Solve for x
    x = 37,356,965,120.25/171,955.50
  6. Step 6: Final answer
    x = 217,247.86

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.