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Finding the Third Proportional to 182.61 and 267.50

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Solution

The third proportional to 182.61 and 267.50 is: 391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.61 : 267.50 = 267.50 : x
  2. Step 2: Convert to fraction form
    182.61/267.50 = 267.50/x
  3. Step 3: Cross multiply
    182.61x = 267.50 × 267.50
  4. Step 4: Simplify right side
    182.61x = 71,557.16
  5. Step 5: Solve for x
    x = 71,557.16/182.61
  6. Step 6: Final answer
    x = 391.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.