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Finding the Third Proportional to 205,868 and 440,274

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Solution

The third proportional to 205,868 and 440,274 is: 941,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,868 : 440,274 = 440,274 : x
  2. Step 2: Convert to fraction form
    205,868/440,274 = 440,274/x
  3. Step 3: Cross multiply
    205,868x = 440,274 × 440,274
  4. Step 4: Simplify right side
    205,868x = 193,841,195,076
  5. Step 5: Solve for x
    x = 193,841,195,076/205,868
  6. Step 6: Final answer
    x = 941,580.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.