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Finding the Third Proportional to 146,787.94 and 224,920.50

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Solution

The third proportional to 146,787.94 and 224,920.50 is: 344,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,787.94 : 224,920.50 = 224,920.50 : x
  2. Step 2: Convert to fraction form
    146,787.94/224,920.50 = 224,920.50/x
  3. Step 3: Cross multiply
    146,787.94x = 224,920.50 × 224,920.50
  4. Step 4: Simplify right side
    146,787.94x = 50,589,231,320.25
  5. Step 5: Solve for x
    x = 50,589,231,320.25/146,787.94
  6. Step 6: Final answer
    x = 344,641.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.