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Finding the Third Proportional to 227,745 and 315,787.50

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Solution

The third proportional to 227,745 and 315,787.50 is: 437,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,745 : 315,787.50 = 315,787.50 : x
  2. Step 2: Convert to fraction form
    227,745/315,787.50 = 315,787.50/x
  3. Step 3: Cross multiply
    227,745x = 315,787.50 × 315,787.50
  4. Step 4: Simplify right side
    227,745x = 99,721,745,156.25
  5. Step 5: Solve for x
    x = 99,721,745,156.25/227,745
  6. Step 6: Final answer
    x = 437,865.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.