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Finding the Third Proportional to 265.25 and 610.75

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Solution

The third proportional to 265.25 and 610.75 is: 1,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.25 : 610.75 = 610.75 : x
  2. Step 2: Convert to fraction form
    265.25/610.75 = 610.75/x
  3. Step 3: Cross multiply
    265.25x = 610.75 × 610.75
  4. Step 4: Simplify right side
    265.25x = 373,015.56
  5. Step 5: Solve for x
    x = 373,015.56/265.25
  6. Step 6: Final answer
    x = 1,406.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.