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Finding the Third Proportional to 200,900 and 303,944

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Solution

The third proportional to 200,900 and 303,944 is: 459,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,900 : 303,944 = 303,944 : x
  2. Step 2: Convert to fraction form
    200,900/303,944 = 303,944/x
  3. Step 3: Cross multiply
    200,900x = 303,944 × 303,944
  4. Step 4: Simplify right side
    200,900x = 92,381,955,136
  5. Step 5: Solve for x
    x = 92,381,955,136/200,900
  6. Step 6: Final answer
    x = 459,840.49

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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.