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Finding the Third Proportional to 170.06 and 256.31

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Solution

The third proportional to 170.06 and 256.31 is: 386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.06 : 256.31 = 256.31 : x
  2. Step 2: Convert to fraction form
    170.06/256.31 = 256.31/x
  3. Step 3: Cross multiply
    170.06x = 256.31 × 256.31
  4. Step 4: Simplify right side
    170.06x = 65,696.10
  5. Step 5: Solve for x
    x = 65,696.10/170.06
  6. Step 6: Final answer
    x = 386.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.