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Finding the Third Proportional to 139.22 and 215.77

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Solution

The third proportional to 139.22 and 215.77 is: 334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.22 : 215.77 = 215.77 : x
  2. Step 2: Convert to fraction form
    139.22/215.77 = 215.77/x
  3. Step 3: Cross multiply
    139.22x = 215.77 × 215.77
  4. Step 4: Simplify right side
    139.22x = 46,554.80
  5. Step 5: Solve for x
    x = 46,554.80/139.22
  6. Step 6: Final answer
    x = 334.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.