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Finding the Third Proportional to 203,996 and 286,762

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Solution

The third proportional to 203,996 and 286,762 is: 403,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,996 : 286,762 = 286,762 : x
  2. Step 2: Convert to fraction form
    203,996/286,762 = 286,762/x
  3. Step 3: Cross multiply
    203,996x = 286,762 × 286,762
  4. Step 4: Simplify right side
    203,996x = 82,232,444,644
  5. Step 5: Solve for x
    x = 82,232,444,644/203,996
  6. Step 6: Final answer
    x = 403,108.12

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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.