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Finding the Third Proportional to 209.25 and 313.13

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Solution

The third proportional to 209.25 and 313.13 is: 468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 313.13 = 313.13 : x
  2. Step 2: Convert to fraction form
    209.25/313.13 = 313.13/x
  3. Step 3: Cross multiply
    209.25x = 313.13 × 313.13
  4. Step 4: Simplify right side
    209.25x = 98,047.27
  5. Step 5: Solve for x
    x = 98,047.27/209.25
  6. Step 6: Final answer
    x = 468.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.