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Finding the Third Proportional to 181.47 and 276.47

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Solution

The third proportional to 181.47 and 276.47 is: 421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.47 : 276.47 = 276.47 : x
  2. Step 2: Convert to fraction form
    181.47/276.47 = 276.47/x
  3. Step 3: Cross multiply
    181.47x = 276.47 × 276.47
  4. Step 4: Simplify right side
    181.47x = 76,434.97
  5. Step 5: Solve for x
    x = 76,434.97/181.47
  6. Step 6: Final answer
    x = 421.20

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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.