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Finding the Third Proportional to 200.38 and 310.94

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Solution

The third proportional to 200.38 and 310.94 is: 482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 310.94 = 310.94 : x
  2. Step 2: Convert to fraction form
    200.38/310.94 = 310.94/x
  3. Step 3: Cross multiply
    200.38x = 310.94 × 310.94
  4. Step 4: Simplify right side
    200.38x = 96,682.13
  5. Step 5: Solve for x
    x = 96,682.13/200.38
  6. Step 6: Final answer
    x = 482.51

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