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Finding the Third Proportional to 260.69 and 362.09

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Solution

The third proportional to 260.69 and 362.09 is: 502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.69 : 362.09 = 362.09 : x
  2. Step 2: Convert to fraction form
    260.69/362.09 = 362.09/x
  3. Step 3: Cross multiply
    260.69x = 362.09 × 362.09
  4. Step 4: Simplify right side
    260.69x = 131,111.88
  5. Step 5: Solve for x
    x = 131,111.88/260.69
  6. Step 6: Final answer
    x = 502.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.