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Finding the Third Proportional to 158,728.50 and 246,046.50

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Solution

The third proportional to 158,728.50 and 246,046.50 is: 381,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,728.50 : 246,046.50 = 246,046.50 : x
  2. Step 2: Convert to fraction form
    158,728.50/246,046.50 = 246,046.50/x
  3. Step 3: Cross multiply
    158,728.50x = 246,046.50 × 246,046.50
  4. Step 4: Simplify right side
    158,728.50x = 60,538,880,162.25
  5. Step 5: Solve for x
    x = 60,538,880,162.25/158,728.50
  6. Step 6: Final answer
    x = 381,398.93

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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.