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Finding the Third Proportional to 203,827.50 and 336,876.75

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Solution

The third proportional to 203,827.50 and 336,876.75 is: 556,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,827.50 : 336,876.75 = 336,876.75 : x
  2. Step 2: Convert to fraction form
    203,827.50/336,876.75 = 336,876.75/x
  3. Step 3: Cross multiply
    203,827.50x = 336,876.75 × 336,876.75
  4. Step 4: Simplify right side
    203,827.50x = 113,485,944,690.56
  5. Step 5: Solve for x
    x = 113,485,944,690.56/203,827.50
  6. Step 6: Final answer
    x = 556,774.45

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.