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Finding the Third Proportional to 172.28 and 258.42

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Solution

The third proportional to 172.28 and 258.42 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.28 : 258.42 = 258.42 : x
  2. Step 2: Convert to fraction form
    172.28/258.42 = 258.42/x
  3. Step 3: Cross multiply
    172.28x = 258.42 × 258.42
  4. Step 4: Simplify right side
    172.28x = 66,783.38
  5. Step 5: Solve for x
    x = 66,783.38/172.28
  6. Step 6: Final answer
    x = 387.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.