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Finding the Third Proportional to 264 and 520.50

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Solution

The third proportional to 264 and 520.50 is: 1,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264 : 520.50 = 520.50 : x
  2. Step 2: Convert to fraction form
    264/520.50 = 520.50/x
  3. Step 3: Cross multiply
    264x = 520.50 × 520.50
  4. Step 4: Simplify right side
    264x = 270,920.25
  5. Step 5: Solve for x
    x = 270,920.25/264
  6. Step 6: Final answer
    x = 1,026.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.