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Finding the Third Proportional to 203,859 and 286,773

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Solution

The third proportional to 203,859 and 286,773 is: 403,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,859 : 286,773 = 286,773 : x
  2. Step 2: Convert to fraction form
    203,859/286,773 = 286,773/x
  3. Step 3: Cross multiply
    203,859x = 286,773 × 286,773
  4. Step 4: Simplify right side
    203,859x = 82,238,753,529
  5. Step 5: Solve for x
    x = 82,238,753,529/203,859
  6. Step 6: Final answer
    x = 403,409.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.