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Finding the Third Proportional to 200.29 and 311.98

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Solution

The third proportional to 200.29 and 311.98 is: 485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.29 : 311.98 = 311.98 : x
  2. Step 2: Convert to fraction form
    200.29/311.98 = 311.98/x
  3. Step 3: Cross multiply
    200.29x = 311.98 × 311.98
  4. Step 4: Simplify right side
    200.29x = 97,329.38
  5. Step 5: Solve for x
    x = 97,329.38/200.29
  6. Step 6: Final answer
    x = 485.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.