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Finding the Third Proportional to 162.53 and 244.48

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Solution

The third proportional to 162.53 and 244.48 is: 367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.53 : 244.48 = 244.48 : x
  2. Step 2: Convert to fraction form
    162.53/244.48 = 244.48/x
  3. Step 3: Cross multiply
    162.53x = 244.48 × 244.48
  4. Step 4: Simplify right side
    162.53x = 59,768.79
  5. Step 5: Solve for x
    x = 59,768.79/162.53
  6. Step 6: Final answer
    x = 367.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.