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Finding the Third Proportional to 208.25 and 320.50

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Solution

The third proportional to 208.25 and 320.50 is: 493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.25 : 320.50 = 320.50 : x
  2. Step 2: Convert to fraction form
    208.25/320.50 = 320.50/x
  3. Step 3: Cross multiply
    208.25x = 320.50 × 320.50
  4. Step 4: Simplify right side
    208.25x = 102,720.25
  5. Step 5: Solve for x
    x = 102,720.25/208.25
  6. Step 6: Final answer
    x = 493.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.