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Finding the Third Proportional to 269.10 and 583.86

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Solution

The third proportional to 269.10 and 583.86 is: 1,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.10 : 583.86 = 583.86 : x
  2. Step 2: Convert to fraction form
    269.10/583.86 = 583.86/x
  3. Step 3: Cross multiply
    269.10x = 583.86 × 583.86
  4. Step 4: Simplify right side
    269.10x = 340,890.77
  5. Step 5: Solve for x
    x = 340,890.77/269.10
  6. Step 6: Final answer
    x = 1,266.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.