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Finding the Third Proportional to 252.88 and 535.75

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Solution

The third proportional to 252.88 and 535.75 is: 1,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.88 : 535.75 = 535.75 : x
  2. Step 2: Convert to fraction form
    252.88/535.75 = 535.75/x
  3. Step 3: Cross multiply
    252.88x = 535.75 × 535.75
  4. Step 4: Simplify right side
    252.88x = 287,028.06
  5. Step 5: Solve for x
    x = 287,028.06/252.88
  6. Step 6: Final answer
    x = 1,135.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.