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Finding the Third Proportional to 178.22 and 240.28

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Solution

The third proportional to 178.22 and 240.28 is: 323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.22 : 240.28 = 240.28 : x
  2. Step 2: Convert to fraction form
    178.22/240.28 = 240.28/x
  3. Step 3: Cross multiply
    178.22x = 240.28 × 240.28
  4. Step 4: Simplify right side
    178.22x = 57,735.08
  5. Step 5: Solve for x
    x = 57,735.08/178.22
  6. Step 6: Final answer
    x = 323.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.