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Finding the Third Proportional to 203,085 and 411,093

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Solution

The third proportional to 203,085 and 411,093 is: 832,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,085 : 411,093 = 411,093 : x
  2. Step 2: Convert to fraction form
    203,085/411,093 = 411,093/x
  3. Step 3: Cross multiply
    203,085x = 411,093 × 411,093
  4. Step 4: Simplify right side
    203,085x = 168,997,454,649
  5. Step 5: Solve for x
    x = 168,997,454,649/203,085
  6. Step 6: Final answer
    x = 832,151.34

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.