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Finding the Third Proportional to 177.75 and 249.19

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Solution

The third proportional to 177.75 and 249.19 is: 349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 249.19 = 249.19 : x
  2. Step 2: Convert to fraction form
    177.75/249.19 = 249.19/x
  3. Step 3: Cross multiply
    177.75x = 249.19 × 249.19
  4. Step 4: Simplify right side
    177.75x = 62,094.41
  5. Step 5: Solve for x
    x = 62,094.41/177.75
  6. Step 6: Final answer
    x = 349.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.