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Finding the Third Proportional to 209.50 and 249.50

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Solution

The third proportional to 209.50 and 249.50 is: 297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 249.50 = 249.50 : x
  2. Step 2: Convert to fraction form
    209.50/249.50 = 249.50/x
  3. Step 3: Cross multiply
    209.50x = 249.50 × 249.50
  4. Step 4: Simplify right side
    209.50x = 62,250.25
  5. Step 5: Solve for x
    x = 62,250.25/209.50
  6. Step 6: Final answer
    x = 297.14

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.