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Finding the Third Proportional to 106,234.50 and 231,787.50

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Solution

The third proportional to 106,234.50 and 231,787.50 is: 505,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,234.50 : 231,787.50 = 231,787.50 : x
  2. Step 2: Convert to fraction form
    106,234.50/231,787.50 = 231,787.50/x
  3. Step 3: Cross multiply
    106,234.50x = 231,787.50 × 231,787.50
  4. Step 4: Simplify right side
    106,234.50x = 53,725,445,156.25
  5. Step 5: Solve for x
    x = 53,725,445,156.25/106,234.50
  6. Step 6: Final answer
    x = 505,725.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.