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Finding the Third Proportional to 178.25 and 287.25

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Solution

The third proportional to 178.25 and 287.25 is: 462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.25 : 287.25 = 287.25 : x
  2. Step 2: Convert to fraction form
    178.25/287.25 = 287.25/x
  3. Step 3: Cross multiply
    178.25x = 287.25 × 287.25
  4. Step 4: Simplify right side
    178.25x = 82,512.56
  5. Step 5: Solve for x
    x = 82,512.56/178.25
  6. Step 6: Final answer
    x = 462.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.