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Finding the Third Proportional to 208.41 and 233.02

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Solution

The third proportional to 208.41 and 233.02 is: 260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.41 : 233.02 = 233.02 : x
  2. Step 2: Convert to fraction form
    208.41/233.02 = 233.02/x
  3. Step 3: Cross multiply
    208.41x = 233.02 × 233.02
  4. Step 4: Simplify right side
    208.41x = 54,296.28
  5. Step 5: Solve for x
    x = 54,296.28/208.41
  6. Step 6: Final answer
    x = 260.53

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.