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Finding the Third Proportional to 158,072.50 and 281,058.50

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Solution

The third proportional to 158,072.50 and 281,058.50 is: 499,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,072.50 : 281,058.50 = 281,058.50 : x
  2. Step 2: Convert to fraction form
    158,072.50/281,058.50 = 281,058.50/x
  3. Step 3: Cross multiply
    158,072.50x = 281,058.50 × 281,058.50
  4. Step 4: Simplify right side
    158,072.50x = 78,993,880,422.25
  5. Step 5: Solve for x
    x = 78,993,880,422.25/158,072.50
  6. Step 6: Final answer
    x = 499,731.96

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.