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Finding the Third Proportional to 205.13 and 403.50

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Solution

The third proportional to 205.13 and 403.50 is: 793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 403.50 = 403.50 : x
  2. Step 2: Convert to fraction form
    205.13/403.50 = 403.50/x
  3. Step 3: Cross multiply
    205.13x = 403.50 × 403.50
  4. Step 4: Simplify right side
    205.13x = 162,812.25
  5. Step 5: Solve for x
    x = 162,812.25/205.13
  6. Step 6: Final answer
    x = 793.72

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.