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Finding the Third Proportional to 208.13 and 310.78

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Solution

The third proportional to 208.13 and 310.78 is: 464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 310.78 = 310.78 : x
  2. Step 2: Convert to fraction form
    208.13/310.78 = 310.78/x
  3. Step 3: Cross multiply
    208.13x = 310.78 × 310.78
  4. Step 4: Simplify right side
    208.13x = 96,584.99
  5. Step 5: Solve for x
    x = 96,584.99/208.13
  6. Step 6: Final answer
    x = 464.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.