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Finding the Third Proportional to 177.25 and 331.25

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Solution

The third proportional to 177.25 and 331.25 is: 619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.25 : 331.25 = 331.25 : x
  2. Step 2: Convert to fraction form
    177.25/331.25 = 331.25/x
  3. Step 3: Cross multiply
    177.25x = 331.25 × 331.25
  4. Step 4: Simplify right side
    177.25x = 109,726.56
  5. Step 5: Solve for x
    x = 109,726.56/177.25
  6. Step 6: Final answer
    x = 619.05

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.