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Finding the Third Proportional to 74.28 and 162.79

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Solution

The third proportional to 74.28 and 162.79 is: 356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.28 : 162.79 = 162.79 : x
  2. Step 2: Convert to fraction form
    74.28/162.79 = 162.79/x
  3. Step 3: Cross multiply
    74.28x = 162.79 × 162.79
  4. Step 4: Simplify right side
    74.28x = 26,500.91
  5. Step 5: Solve for x
    x = 26,500.91/74.28
  6. Step 6: Final answer
    x = 356.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.