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Finding the Third Proportional to 219 and 318.25

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Solution

The third proportional to 219 and 318.25 is: 462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219 : 318.25 = 318.25 : x
  2. Step 2: Convert to fraction form
    219/318.25 = 318.25/x
  3. Step 3: Cross multiply
    219x = 318.25 × 318.25
  4. Step 4: Simplify right side
    219x = 101,283.06
  5. Step 5: Solve for x
    x = 101,283.06/219
  6. Step 6: Final answer
    x = 462.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.