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Finding the Third Proportional to 269.06 and 563.06

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Solution

The third proportional to 269.06 and 563.06 is: 1,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.06 : 563.06 = 563.06 : x
  2. Step 2: Convert to fraction form
    269.06/563.06 = 563.06/x
  3. Step 3: Cross multiply
    269.06x = 563.06 × 563.06
  4. Step 4: Simplify right side
    269.06x = 317,039.38
  5. Step 5: Solve for x
    x = 317,039.38/269.06
  6. Step 6: Final answer
    x = 1,178.31

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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.