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Finding the Third Proportional to 203,983.50 and 286,744.50

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Solution

The third proportional to 203,983.50 and 286,744.50 is: 403,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,983.50 : 286,744.50 = 286,744.50 : x
  2. Step 2: Convert to fraction form
    203,983.50/286,744.50 = 286,744.50/x
  3. Step 3: Cross multiply
    203,983.50x = 286,744.50 × 286,744.50
  4. Step 4: Simplify right side
    203,983.50x = 82,222,408,280.25
  5. Step 5: Solve for x
    x = 82,222,408,280.25/203,983.50
  6. Step 6: Final answer
    x = 403,083.62

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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.