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Finding the Third Proportional to 128 and 288

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Solution

The third proportional to 128 and 288 is: 648

Step by Step Solution

  1. Step 1: Write the proportion equation
    128 : 288 = 288 : x
  2. Step 2: Convert to fraction form
    128/288 = 288/x
  3. Step 3: Cross multiply
    128x = 288 × 288
  4. Step 4: Simplify right side
    128x = 82,944
  5. Step 5: Solve for x
    x = 82,944/128
  6. Step 6: Final answer
    x = 648

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.