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Finding the Third Proportional to 159,470.50 and 246,981.75

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Solution

The third proportional to 159,470.50 and 246,981.75 is: 382,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,470.50 : 246,981.75 = 246,981.75 : x
  2. Step 2: Convert to fraction form
    159,470.50/246,981.75 = 246,981.75/x
  3. Step 3: Cross multiply
    159,470.50x = 246,981.75 × 246,981.75
  4. Step 4: Simplify right side
    159,470.50x = 60,999,984,833.06
  5. Step 5: Solve for x
    x = 60,999,984,833.06/159,470.50
  6. Step 6: Final answer
    x = 382,515.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.