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Finding the Third Proportional to 177.68 and 383.48

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Solution

The third proportional to 177.68 and 383.48 is: 827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 383.48 = 383.48 : x
  2. Step 2: Convert to fraction form
    177.68/383.48 = 383.48/x
  3. Step 3: Cross multiply
    177.68x = 383.48 × 383.48
  4. Step 4: Simplify right side
    177.68x = 147,060.27
  5. Step 5: Solve for x
    x = 147,060.27/177.68
  6. Step 6: Final answer
    x = 827.67

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