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Finding the Third Proportional to 137,787.75 and 300,847.50

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Solution

The third proportional to 137,787.75 and 300,847.50 is: 656,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,787.75 : 300,847.50 = 300,847.50 : x
  2. Step 2: Convert to fraction form
    137,787.75/300,847.50 = 300,847.50/x
  3. Step 3: Cross multiply
    137,787.75x = 300,847.50 × 300,847.50
  4. Step 4: Simplify right side
    137,787.75x = 90,509,218,256.25
  5. Step 5: Solve for x
    x = 90,509,218,256.25/137,787.75
  6. Step 6: Final answer
    x = 656,874.20

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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.