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Finding the Third Proportional to 200.29 and 330.96

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Solution

The third proportional to 200.29 and 330.96 is: 546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.29 : 330.96 = 330.96 : x
  2. Step 2: Convert to fraction form
    200.29/330.96 = 330.96/x
  3. Step 3: Cross multiply
    200.29x = 330.96 × 330.96
  4. Step 4: Simplify right side
    200.29x = 109,535.14
  5. Step 5: Solve for x
    x = 109,535.14/200.29
  6. Step 6: Final answer
    x = 546.90

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.