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Finding the Third Proportional to 264.16 and 582.31

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Solution

The third proportional to 264.16 and 582.31 is: 1,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.16 : 582.31 = 582.31 : x
  2. Step 2: Convert to fraction form
    264.16/582.31 = 582.31/x
  3. Step 3: Cross multiply
    264.16x = 582.31 × 582.31
  4. Step 4: Simplify right side
    264.16x = 339,087.85
  5. Step 5: Solve for x
    x = 339,087.85/264.16
  6. Step 6: Final answer
    x = 1,283.66

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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.