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Finding the Third Proportional to 209.50 and 319.38

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Solution

The third proportional to 209.50 and 319.38 is: 486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 319.38 = 319.38 : x
  2. Step 2: Convert to fraction form
    209.50/319.38 = 319.38/x
  3. Step 3: Cross multiply
    209.50x = 319.38 × 319.38
  4. Step 4: Simplify right side
    209.50x = 102,000.39
  5. Step 5: Solve for x
    x = 102,000.39/209.50
  6. Step 6: Final answer
    x = 486.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.