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Finding the Third Proportional to 204,026.50 and 286,805

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Solution

The third proportional to 204,026.50 and 286,805 is: 403,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,026.50 : 286,805 = 286,805 : x
  2. Step 2: Convert to fraction form
    204,026.50/286,805 = 286,805/x
  3. Step 3: Cross multiply
    204,026.50x = 286,805 × 286,805
  4. Step 4: Simplify right side
    204,026.50x = 82,257,108,025
  5. Step 5: Solve for x
    x = 82,257,108,025/204,026.50
  6. Step 6: Final answer
    x = 403,168.75

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