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Finding the Third Proportional to 209.50 and 328.25

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Solution

The third proportional to 209.50 and 328.25 is: 514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 328.25 = 328.25 : x
  2. Step 2: Convert to fraction form
    209.50/328.25 = 328.25/x
  3. Step 3: Cross multiply
    209.50x = 328.25 × 328.25
  4. Step 4: Simplify right side
    209.50x = 107,748.06
  5. Step 5: Solve for x
    x = 107,748.06/209.50
  6. Step 6: Final answer
    x = 514.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.