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Finding the Third Proportional to 272.44 and 531.19

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Solution

The third proportional to 272.44 and 531.19 is: 1,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 531.19 = 531.19 : x
  2. Step 2: Convert to fraction form
    272.44/531.19 = 531.19/x
  3. Step 3: Cross multiply
    272.44x = 531.19 × 531.19
  4. Step 4: Simplify right side
    272.44x = 282,160.16
  5. Step 5: Solve for x
    x = 282,160.16/272.44
  6. Step 6: Final answer
    x = 1,035.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.