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Finding the Third Proportional to 209 and 503.75

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Solution

The third proportional to 209 and 503.75 is: 1,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 503.75 = 503.75 : x
  2. Step 2: Convert to fraction form
    209/503.75 = 503.75/x
  3. Step 3: Cross multiply
    209x = 503.75 × 503.75
  4. Step 4: Simplify right side
    209x = 253,764.06
  5. Step 5: Solve for x
    x = 253,764.06/209
  6. Step 6: Final answer
    x = 1,214.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.