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Finding the Third Proportional to 267.05 and 359.28

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Solution

The third proportional to 267.05 and 359.28 is: 483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.05 : 359.28 = 359.28 : x
  2. Step 2: Convert to fraction form
    267.05/359.28 = 359.28/x
  3. Step 3: Cross multiply
    267.05x = 359.28 × 359.28
  4. Step 4: Simplify right side
    267.05x = 129,081.61
  5. Step 5: Solve for x
    x = 129,081.61/267.05
  6. Step 6: Final answer
    x = 483.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.