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Finding the Third Proportional to 231,559.25 and 346,366.75

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Solution

The third proportional to 231,559.25 and 346,366.75 is: 518,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,559.25 : 346,366.75 = 346,366.75 : x
  2. Step 2: Convert to fraction form
    231,559.25/346,366.75 = 346,366.75/x
  3. Step 3: Cross multiply
    231,559.25x = 346,366.75 × 346,366.75
  4. Step 4: Simplify right side
    231,559.25x = 119,969,925,505.56
  5. Step 5: Solve for x
    x = 119,969,925,505.56/231,559.25
  6. Step 6: Final answer
    x = 518,096.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.