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Finding the Third Proportional to 170.86 and 375.89

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Solution

The third proportional to 170.86 and 375.89 is: 826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.86 : 375.89 = 375.89 : x
  2. Step 2: Convert to fraction form
    170.86/375.89 = 375.89/x
  3. Step 3: Cross multiply
    170.86x = 375.89 × 375.89
  4. Step 4: Simplify right side
    170.86x = 141,293.76
  5. Step 5: Solve for x
    x = 141,293.76/170.86
  6. Step 6: Final answer
    x = 826.96

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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.