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Finding the Third Proportional to 176.06 and 386.72

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Solution

The third proportional to 176.06 and 386.72 is: 849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 386.72 = 386.72 : x
  2. Step 2: Convert to fraction form
    176.06/386.72 = 386.72/x
  3. Step 3: Cross multiply
    176.06x = 386.72 × 386.72
  4. Step 4: Simplify right side
    176.06x = 149,551.39
  5. Step 5: Solve for x
    x = 149,551.39/176.06
  6. Step 6: Final answer
    x = 849.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.