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Finding the Third Proportional to 200,923 and 303,967

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Solution

The third proportional to 200,923 and 303,967 is: 459,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,923 : 303,967 = 303,967 : x
  2. Step 2: Convert to fraction form
    200,923/303,967 = 303,967/x
  3. Step 3: Cross multiply
    200,923x = 303,967 × 303,967
  4. Step 4: Simplify right side
    200,923x = 92,395,937,089
  5. Step 5: Solve for x
    x = 92,395,937,089/200,923
  6. Step 6: Final answer
    x = 459,857.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.