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Finding the Third Proportional to 208.83 and 323.65

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Solution

The third proportional to 208.83 and 323.65 is: 501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.83 : 323.65 = 323.65 : x
  2. Step 2: Convert to fraction form
    208.83/323.65 = 323.65/x
  3. Step 3: Cross multiply
    208.83x = 323.65 × 323.65
  4. Step 4: Simplify right side
    208.83x = 104,748.31
  5. Step 5: Solve for x
    x = 104,748.31/208.83
  6. Step 6: Final answer
    x = 501.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.