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Finding the Third Proportional to 269.50 and 584.50

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Solution

The third proportional to 269.50 and 584.50 is: 1,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.50 : 584.50 = 584.50 : x
  2. Step 2: Convert to fraction form
    269.50/584.50 = 584.50/x
  3. Step 3: Cross multiply
    269.50x = 584.50 × 584.50
  4. Step 4: Simplify right side
    269.50x = 341,640.25
  5. Step 5: Solve for x
    x = 341,640.25/269.50
  6. Step 6: Final answer
    x = 1,267.68

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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.