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Finding the Third Proportional to 200.81 and 311.63

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Solution

The third proportional to 200.81 and 311.63 is: 483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.81 : 311.63 = 311.63 : x
  2. Step 2: Convert to fraction form
    200.81/311.63 = 311.63/x
  3. Step 3: Cross multiply
    200.81x = 311.63 × 311.63
  4. Step 4: Simplify right side
    200.81x = 97,110.14
  5. Step 5: Solve for x
    x = 97,110.14/200.81
  6. Step 6: Final answer
    x = 483.59

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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.