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Finding the Third Proportional to 141.06 and 221.09

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Solution

The third proportional to 141.06 and 221.09 is: 346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.06 : 221.09 = 221.09 : x
  2. Step 2: Convert to fraction form
    141.06/221.09 = 221.09/x
  3. Step 3: Cross multiply
    141.06x = 221.09 × 221.09
  4. Step 4: Simplify right side
    141.06x = 48,882.45
  5. Step 5: Solve for x
    x = 48,882.45/141.06
  6. Step 6: Final answer
    x = 346.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.