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Finding the Third Proportional to 74.44 and 162.56

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Solution

The third proportional to 74.44 and 162.56 is: 355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.44 : 162.56 = 162.56 : x
  2. Step 2: Convert to fraction form
    74.44/162.56 = 162.56/x
  3. Step 3: Cross multiply
    74.44x = 162.56 × 162.56
  4. Step 4: Simplify right side
    74.44x = 26,426.57
  5. Step 5: Solve for x
    x = 26,426.57/74.44
  6. Step 6: Final answer
    x = 355.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.