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Finding the Third Proportional to 209.30 and 313.95

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Solution

The third proportional to 209.30 and 313.95 is: 470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.30 : 313.95 = 313.95 : x
  2. Step 2: Convert to fraction form
    209.30/313.95 = 313.95/x
  3. Step 3: Cross multiply
    209.30x = 313.95 × 313.95
  4. Step 4: Simplify right side
    209.30x = 98,567.18
  5. Step 5: Solve for x
    x = 98,567.18/209.30
  6. Step 6: Final answer
    x = 470.93

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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.