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Finding the Third Proportional to 200,922 and 303,972

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Solution

The third proportional to 200,922 and 303,972 is: 459,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,922 : 303,972 = 303,972 : x
  2. Step 2: Convert to fraction form
    200,922/303,972 = 303,972/x
  3. Step 3: Cross multiply
    200,922x = 303,972 × 303,972
  4. Step 4: Simplify right side
    200,922x = 92,398,976,784
  5. Step 5: Solve for x
    x = 92,398,976,784/200,922
  6. Step 6: Final answer
    x = 459,874.86

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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.