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Finding the Third Proportional to 259.14 and 570.96

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Solution

The third proportional to 259.14 and 570.96 is: 1,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.14 : 570.96 = 570.96 : x
  2. Step 2: Convert to fraction form
    259.14/570.96 = 570.96/x
  3. Step 3: Cross multiply
    259.14x = 570.96 × 570.96
  4. Step 4: Simplify right side
    259.14x = 325,989.70
  5. Step 5: Solve for x
    x = 325,989.70/259.14
  6. Step 6: Final answer
    x = 1,257.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.