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Finding the Third Proportional to 208.48 and 296.37

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Solution

The third proportional to 208.48 and 296.37 is: 421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.48 : 296.37 = 296.37 : x
  2. Step 2: Convert to fraction form
    208.48/296.37 = 296.37/x
  3. Step 3: Cross multiply
    208.48x = 296.37 × 296.37
  4. Step 4: Simplify right side
    208.48x = 87,833.51
  5. Step 5: Solve for x
    x = 87,833.51/208.48
  6. Step 6: Final answer
    x = 421.31

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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.