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Finding the Third Proportional to 203,675.25 and 308,793

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Solution

The third proportional to 203,675.25 and 308,793 is: 468,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,675.25 : 308,793 = 308,793 : x
  2. Step 2: Convert to fraction form
    203,675.25/308,793 = 308,793/x
  3. Step 3: Cross multiply
    203,675.25x = 308,793 × 308,793
  4. Step 4: Simplify right side
    203,675.25x = 95,353,116,849
  5. Step 5: Solve for x
    x = 95,353,116,849/203,675.25
  6. Step 6: Final answer
    x = 468,162.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.