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Finding the Third Proportional to 205.13 and 336.94

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Solution

The third proportional to 205.13 and 336.94 is: 553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 336.94 = 336.94 : x
  2. Step 2: Convert to fraction form
    205.13/336.94 = 336.94/x
  3. Step 3: Cross multiply
    205.13x = 336.94 × 336.94
  4. Step 4: Simplify right side
    205.13x = 113,526.88
  5. Step 5: Solve for x
    x = 113,526.88/205.13
  6. Step 6: Final answer
    x = 553.45

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.