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Finding the Third Proportional to 269.58 and 559.41

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Solution

The third proportional to 269.58 and 559.41 is: 1,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.58 : 559.41 = 559.41 : x
  2. Step 2: Convert to fraction form
    269.58/559.41 = 559.41/x
  3. Step 3: Cross multiply
    269.58x = 559.41 × 559.41
  4. Step 4: Simplify right side
    269.58x = 312,935.35
  5. Step 5: Solve for x
    x = 312,935.35/269.58
  6. Step 6: Final answer
    x = 1,160.83

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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.