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Finding the Third Proportional to 128.74 and 274.57

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Solution

The third proportional to 128.74 and 274.57 is: 585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.74 : 274.57 = 274.57 : x
  2. Step 2: Convert to fraction form
    128.74/274.57 = 274.57/x
  3. Step 3: Cross multiply
    128.74x = 274.57 × 274.57
  4. Step 4: Simplify right side
    128.74x = 75,388.86
  5. Step 5: Solve for x
    x = 75,388.86/128.74
  6. Step 6: Final answer
    x = 585.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.