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Finding the Third Proportional to 114.75 and 162.38

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Solution

The third proportional to 114.75 and 162.38 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 162.38 = 162.38 : x
  2. Step 2: Convert to fraction form
    114.75/162.38 = 162.38/x
  3. Step 3: Cross multiply
    114.75x = 162.38 × 162.38
  4. Step 4: Simplify right side
    114.75x = 26,365.64
  5. Step 5: Solve for x
    x = 26,365.64/114.75
  6. Step 6: Final answer
    x = 229.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.