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Finding the Third Proportional to 208.31 and 306.84

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Solution

The third proportional to 208.31 and 306.84 is: 451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.31 : 306.84 = 306.84 : x
  2. Step 2: Convert to fraction form
    208.31/306.84 = 306.84/x
  3. Step 3: Cross multiply
    208.31x = 306.84 × 306.84
  4. Step 4: Simplify right side
    208.31x = 94,153.09
  5. Step 5: Solve for x
    x = 94,153.09/208.31
  6. Step 6: Final answer
    x = 451.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.