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Finding the Third Proportional to 220.13 and 336.06

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Solution

The third proportional to 220.13 and 336.06 is: 513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.13 : 336.06 = 336.06 : x
  2. Step 2: Convert to fraction form
    220.13/336.06 = 336.06/x
  3. Step 3: Cross multiply
    220.13x = 336.06 × 336.06
  4. Step 4: Simplify right side
    220.13x = 112,938.00
  5. Step 5: Solve for x
    x = 112,938.00/220.13
  6. Step 6: Final answer
    x = 513.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.