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Finding the Third Proportional to 203,134.50 and 314,376.75

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Solution

The third proportional to 203,134.50 and 314,376.75 is: 486,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,134.50 : 314,376.75 = 314,376.75 : x
  2. Step 2: Convert to fraction form
    203,134.50/314,376.75 = 314,376.75/x
  3. Step 3: Cross multiply
    203,134.50x = 314,376.75 × 314,376.75
  4. Step 4: Simplify right side
    203,134.50x = 98,832,740,940.56
  5. Step 5: Solve for x
    x = 98,832,740,940.56/203,134.50
  6. Step 6: Final answer
    x = 486,538.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.