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Finding the Third Proportional to 264.75 and 581.25

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Solution

The third proportional to 264.75 and 581.25 is: 1,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.75 : 581.25 = 581.25 : x
  2. Step 2: Convert to fraction form
    264.75/581.25 = 581.25/x
  3. Step 3: Cross multiply
    264.75x = 581.25 × 581.25
  4. Step 4: Simplify right side
    264.75x = 337,851.56
  5. Step 5: Solve for x
    x = 337,851.56/264.75
  6. Step 6: Final answer
    x = 1,276.12

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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.