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Finding the Third Proportional to 312 and 480.25

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Solution

The third proportional to 312 and 480.25 is: 739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312 : 480.25 = 480.25 : x
  2. Step 2: Convert to fraction form
    312/480.25 = 480.25/x
  3. Step 3: Cross multiply
    312x = 480.25 × 480.25
  4. Step 4: Simplify right side
    312x = 230,640.06
  5. Step 5: Solve for x
    x = 230,640.06/312
  6. Step 6: Final answer
    x = 739.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.