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Finding the Third Proportional to 176.75 and 265.25

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Solution

The third proportional to 176.75 and 265.25 is: 398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.75 : 265.25 = 265.25 : x
  2. Step 2: Convert to fraction form
    176.75/265.25 = 265.25/x
  3. Step 3: Cross multiply
    176.75x = 265.25 × 265.25
  4. Step 4: Simplify right side
    176.75x = 70,357.56
  5. Step 5: Solve for x
    x = 70,357.56/176.75
  6. Step 6: Final answer
    x = 398.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.