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Finding the Third Proportional to 170.06 and 266.81

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Solution

The third proportional to 170.06 and 266.81 is: 418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.06 : 266.81 = 266.81 : x
  2. Step 2: Convert to fraction form
    170.06/266.81 = 266.81/x
  3. Step 3: Cross multiply
    170.06x = 266.81 × 266.81
  4. Step 4: Simplify right side
    170.06x = 71,188.91
  5. Step 5: Solve for x
    x = 71,188.91/170.06
  6. Step 6: Final answer
    x = 418.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.