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Finding the Third Proportional to 82.13 and 200.53

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Solution

The third proportional to 82.13 and 200.53 is: 489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.13 : 200.53 = 200.53 : x
  2. Step 2: Convert to fraction form
    82.13/200.53 = 200.53/x
  3. Step 3: Cross multiply
    82.13x = 200.53 × 200.53
  4. Step 4: Simplify right side
    82.13x = 40,212.78
  5. Step 5: Solve for x
    x = 40,212.78/82.13
  6. Step 6: Final answer
    x = 489.65

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.