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Finding the Third Proportional to 85.69 and 202.09

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Solution

The third proportional to 85.69 and 202.09 is: 476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.69 : 202.09 = 202.09 : x
  2. Step 2: Convert to fraction form
    85.69/202.09 = 202.09/x
  3. Step 3: Cross multiply
    85.69x = 202.09 × 202.09
  4. Step 4: Simplify right side
    85.69x = 40,841.88
  5. Step 5: Solve for x
    x = 40,841.88/85.69
  6. Step 6: Final answer
    x = 476.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.