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Finding the Third Proportional to 78.89 and 170.25

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Solution

The third proportional to 78.89 and 170.25 is: 367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.89 : 170.25 = 170.25 : x
  2. Step 2: Convert to fraction form
    78.89/170.25 = 170.25/x
  3. Step 3: Cross multiply
    78.89x = 170.25 × 170.25
  4. Step 4: Simplify right side
    78.89x = 28,986.06
  5. Step 5: Solve for x
    x = 28,986.06/78.89
  6. Step 6: Final answer
    x = 367.42

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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.