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Finding the Third Proportional to 262.88 and 461.25

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Solution

The third proportional to 262.88 and 461.25 is: 809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.88 : 461.25 = 461.25 : x
  2. Step 2: Convert to fraction form
    262.88/461.25 = 461.25/x
  3. Step 3: Cross multiply
    262.88x = 461.25 × 461.25
  4. Step 4: Simplify right side
    262.88x = 212,751.56
  5. Step 5: Solve for x
    x = 212,751.56/262.88
  6. Step 6: Final answer
    x = 809.33

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.