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Finding the Third Proportional to 209,274 and 303,703.50

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Solution

The third proportional to 209,274 and 303,703.50 is: 440,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,274 : 303,703.50 = 303,703.50 : x
  2. Step 2: Convert to fraction form
    209,274/303,703.50 = 303,703.50/x
  3. Step 3: Cross multiply
    209,274x = 303,703.50 × 303,703.50
  4. Step 4: Simplify right side
    209,274x = 92,235,815,912.25
  5. Step 5: Solve for x
    x = 92,235,815,912.25/209,274
  6. Step 6: Final answer
    x = 440,741.88

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.