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Finding the Third Proportional to 205,936 and 451,236

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Solution

The third proportional to 205,936 and 451,236 is: 988,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,936 : 451,236 = 451,236 : x
  2. Step 2: Convert to fraction form
    205,936/451,236 = 451,236/x
  3. Step 3: Cross multiply
    205,936x = 451,236 × 451,236
  4. Step 4: Simplify right side
    205,936x = 203,613,927,696
  5. Step 5: Solve for x
    x = 203,613,927,696/205,936
  6. Step 6: Final answer
    x = 988,724.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.