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Finding the Third Proportional to 269.10 and 570.24

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Solution

The third proportional to 269.10 and 570.24 is: 1,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.10 : 570.24 = 570.24 : x
  2. Step 2: Convert to fraction form
    269.10/570.24 = 570.24/x
  3. Step 3: Cross multiply
    269.10x = 570.24 × 570.24
  4. Step 4: Simplify right side
    269.10x = 325,177.27
  5. Step 5: Solve for x
    x = 325,177.27/269.10
  6. Step 6: Final answer
    x = 1,208.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.