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Finding the Third Proportional to 175.78 and 202.36

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Solution

The third proportional to 175.78 and 202.36 is: 232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.78 : 202.36 = 202.36 : x
  2. Step 2: Convert to fraction form
    175.78/202.36 = 202.36/x
  3. Step 3: Cross multiply
    175.78x = 202.36 × 202.36
  4. Step 4: Simplify right side
    175.78x = 40,949.32
  5. Step 5: Solve for x
    x = 40,949.32/175.78
  6. Step 6: Final answer
    x = 232.96

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.