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Finding the Third Proportional to 144 and 270

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Solution

The third proportional to 144 and 270 is: 506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 270 = 270 : x
  2. Step 2: Convert to fraction form
    144/270 = 270/x
  3. Step 3: Cross multiply
    144x = 270 × 270
  4. Step 4: Simplify right side
    144x = 72,900
  5. Step 5: Solve for x
    x = 72,900/144
  6. Step 6: Final answer
    x = 506.25

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.