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Finding the Third Proportional to 203,937.75 and 286,679.25

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Solution

The third proportional to 203,937.75 and 286,679.25 is: 402,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,937.75 : 286,679.25 = 286,679.25 : x
  2. Step 2: Convert to fraction form
    203,937.75/286,679.25 = 286,679.25/x
  3. Step 3: Cross multiply
    203,937.75x = 286,679.25 × 286,679.25
  4. Step 4: Simplify right side
    203,937.75x = 82,184,992,380.56
  5. Step 5: Solve for x
    x = 82,184,992,380.56/203,937.75
  6. Step 6: Final answer
    x = 402,990.58

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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.