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Finding the Third Proportional to 209.50 and 322

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Solution

The third proportional to 209.50 and 322 is: 494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 322 = 322 : x
  2. Step 2: Convert to fraction form
    209.50/322 = 322/x
  3. Step 3: Cross multiply
    209.50x = 322 × 322
  4. Step 4: Simplify right side
    209.50x = 103,684
  5. Step 5: Solve for x
    x = 103,684/209.50
  6. Step 6: Final answer
    x = 494.91

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