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Finding the Third Proportional to 177.75 and 383.44

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Solution

The third proportional to 177.75 and 383.44 is: 827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 383.44 = 383.44 : x
  2. Step 2: Convert to fraction form
    177.75/383.44 = 383.44/x
  3. Step 3: Cross multiply
    177.75x = 383.44 × 383.44
  4. Step 4: Simplify right side
    177.75x = 147,024.32
  5. Step 5: Solve for x
    x = 147,024.32/177.75
  6. Step 6: Final answer
    x = 827.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.