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Finding the Third Proportional to 202.94 and 265.97

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Solution

The third proportional to 202.94 and 265.97 is: 348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 265.97 = 265.97 : x
  2. Step 2: Convert to fraction form
    202.94/265.97 = 265.97/x
  3. Step 3: Cross multiply
    202.94x = 265.97 × 265.97
  4. Step 4: Simplify right side
    202.94x = 70,739.38
  5. Step 5: Solve for x
    x = 70,739.38/202.94
  6. Step 6: Final answer
    x = 348.58

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.