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Finding the Third Proportional to 269.44 and 563.63

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Solution

The third proportional to 269.44 and 563.63 is: 1,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.44 : 563.63 = 563.63 : x
  2. Step 2: Convert to fraction form
    269.44/563.63 = 563.63/x
  3. Step 3: Cross multiply
    269.44x = 563.63 × 563.63
  4. Step 4: Simplify right side
    269.44x = 317,673.14
  5. Step 5: Solve for x
    x = 317,673.14/269.44
  6. Step 6: Final answer
    x = 1,179.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.