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Finding the Third Proportional to 77.36 and 162.32

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Solution

The third proportional to 77.36 and 162.32 is: 340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.36 : 162.32 = 162.32 : x
  2. Step 2: Convert to fraction form
    77.36/162.32 = 162.32/x
  3. Step 3: Cross multiply
    77.36x = 162.32 × 162.32
  4. Step 4: Simplify right side
    77.36x = 26,346.62
  5. Step 5: Solve for x
    x = 26,346.62/77.36
  6. Step 6: Final answer
    x = 340.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.