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Finding the Third Proportional to 176.74 and 381.93

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Solution

The third proportional to 176.74 and 381.93 is: 825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.74 : 381.93 = 381.93 : x
  2. Step 2: Convert to fraction form
    176.74/381.93 = 381.93/x
  3. Step 3: Cross multiply
    176.74x = 381.93 × 381.93
  4. Step 4: Simplify right side
    176.74x = 145,869.54
  5. Step 5: Solve for x
    x = 145,869.54/176.74
  6. Step 6: Final answer
    x = 825.34

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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.