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Finding the Third Proportional to 158,073 and 281,059.50

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Solution

The third proportional to 158,073 and 281,059.50 is: 499,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,073 : 281,059.50 = 281,059.50 : x
  2. Step 2: Convert to fraction form
    158,073/281,059.50 = 281,059.50/x
  3. Step 3: Cross multiply
    158,073x = 281,059.50 × 281,059.50
  4. Step 4: Simplify right side
    158,073x = 78,994,442,540.25
  5. Step 5: Solve for x
    x = 78,994,442,540.25/158,073
  6. Step 6: Final answer
    x = 499,733.94

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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.