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Finding the Third Proportional to 206.38 and 429.88

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Solution

The third proportional to 206.38 and 429.88 is: 895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 429.88 = 429.88 : x
  2. Step 2: Convert to fraction form
    206.38/429.88 = 429.88/x
  3. Step 3: Cross multiply
    206.38x = 429.88 × 429.88
  4. Step 4: Simplify right side
    206.38x = 184,792.52
  5. Step 5: Solve for x
    x = 184,792.52/206.38
  6. Step 6: Final answer
    x = 895.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.