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Finding the Third Proportional to 200.38 and 309.63

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Solution

The third proportional to 200.38 and 309.63 is: 478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 309.63 = 309.63 : x
  2. Step 2: Convert to fraction form
    200.38/309.63 = 309.63/x
  3. Step 3: Cross multiply
    200.38x = 309.63 × 309.63
  4. Step 4: Simplify right side
    200.38x = 95,867.64
  5. Step 5: Solve for x
    x = 95,867.64/200.38
  6. Step 6: Final answer
    x = 478.44

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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.