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Finding the Third Proportional to 200,929 and 303,983

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Solution

The third proportional to 200,929 and 303,983 is: 459,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,929 : 303,983 = 303,983 : x
  2. Step 2: Convert to fraction form
    200,929/303,983 = 303,983/x
  3. Step 3: Cross multiply
    200,929x = 303,983 × 303,983
  4. Step 4: Simplify right side
    200,929x = 92,405,664,289
  5. Step 5: Solve for x
    x = 92,405,664,289/200,929
  6. Step 6: Final answer
    x = 459,892.12

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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.