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Finding the Third Proportional to 139.17 and 255.52

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Solution

The third proportional to 139.17 and 255.52 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.17 : 255.52 = 255.52 : x
  2. Step 2: Convert to fraction form
    139.17/255.52 = 255.52/x
  3. Step 3: Cross multiply
    139.17x = 255.52 × 255.52
  4. Step 4: Simplify right side
    139.17x = 65,288.23
  5. Step 5: Solve for x
    x = 65,288.23/139.17
  6. Step 6: Final answer
    x = 469.12

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.