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Finding the Third Proportional to 176.55 and 267.68

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Solution

The third proportional to 176.55 and 267.68 is: 405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.55 : 267.68 = 267.68 : x
  2. Step 2: Convert to fraction form
    176.55/267.68 = 267.68/x
  3. Step 3: Cross multiply
    176.55x = 267.68 × 267.68
  4. Step 4: Simplify right side
    176.55x = 71,652.42
  5. Step 5: Solve for x
    x = 71,652.42/176.55
  6. Step 6: Final answer
    x = 405.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.