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Finding the Third Proportional to 208.13 and 295.13

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Solution

The third proportional to 208.13 and 295.13 is: 418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 295.13 = 295.13 : x
  2. Step 2: Convert to fraction form
    208.13/295.13 = 295.13/x
  3. Step 3: Cross multiply
    208.13x = 295.13 × 295.13
  4. Step 4: Simplify right side
    208.13x = 87,098.77
  5. Step 5: Solve for x
    x = 87,098.77/208.13
  6. Step 6: Final answer
    x = 418.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.