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Finding the Third Proportional to 178 and 193.25

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Solution

The third proportional to 178 and 193.25 is: 209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178 : 193.25 = 193.25 : x
  2. Step 2: Convert to fraction form
    178/193.25 = 193.25/x
  3. Step 3: Cross multiply
    178x = 193.25 × 193.25
  4. Step 4: Simplify right side
    178x = 37,345.56
  5. Step 5: Solve for x
    x = 37,345.56/178
  6. Step 6: Final answer
    x = 209.81

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.