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Finding the Third Proportional to 263.25 and 570.16

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Solution

The third proportional to 263.25 and 570.16 is: 1,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.25 : 570.16 = 570.16 : x
  2. Step 2: Convert to fraction form
    263.25/570.16 = 570.16/x
  3. Step 3: Cross multiply
    263.25x = 570.16 × 570.16
  4. Step 4: Simplify right side
    263.25x = 325,087.06
  5. Step 5: Solve for x
    x = 325,087.06/263.25
  6. Step 6: Final answer
    x = 1,234.90

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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.