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Finding the Third Proportional to 70.24 and 158.52

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Solution

The third proportional to 70.24 and 158.52 is: 357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.24 : 158.52 = 158.52 : x
  2. Step 2: Convert to fraction form
    70.24/158.52 = 158.52/x
  3. Step 3: Cross multiply
    70.24x = 158.52 × 158.52
  4. Step 4: Simplify right side
    70.24x = 25,128.44
  5. Step 5: Solve for x
    x = 25,128.44/70.24
  6. Step 6: Final answer
    x = 357.74

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.