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Finding the Third Proportional to 270.25 and 561.88

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Solution

The third proportional to 270.25 and 561.88 is: 1,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.25 : 561.88 = 561.88 : x
  2. Step 2: Convert to fraction form
    270.25/561.88 = 561.88/x
  3. Step 3: Cross multiply
    270.25x = 561.88 × 561.88
  4. Step 4: Simplify right side
    270.25x = 315,703.52
  5. Step 5: Solve for x
    x = 315,703.52/270.25
  6. Step 6: Final answer
    x = 1,168.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.