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Finding the Third Proportional to 156.52 and 226.55

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Solution

The third proportional to 156.52 and 226.55 is: 327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.52 : 226.55 = 226.55 : x
  2. Step 2: Convert to fraction form
    156.52/226.55 = 226.55/x
  3. Step 3: Cross multiply
    156.52x = 226.55 × 226.55
  4. Step 4: Simplify right side
    156.52x = 51,323.49
  5. Step 5: Solve for x
    x = 51,323.49/156.52
  6. Step 6: Final answer
    x = 327.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.