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Finding the Third Proportional to 128.14 and 276.22

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Solution

The third proportional to 128.14 and 276.22 is: 595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.14 : 276.22 = 276.22 : x
  2. Step 2: Convert to fraction form
    128.14/276.22 = 276.22/x
  3. Step 3: Cross multiply
    128.14x = 276.22 × 276.22
  4. Step 4: Simplify right side
    128.14x = 76,298.96
  5. Step 5: Solve for x
    x = 76,298.96/128.14
  6. Step 6: Final answer
    x = 595.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.