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Finding the Third Proportional to 158,447.50 and 330,000

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Solution

The third proportional to 158,447.50 and 330,000 is: 687,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,447.50 : 330,000 = 330,000 : x
  2. Step 2: Convert to fraction form
    158,447.50/330,000 = 330,000/x
  3. Step 3: Cross multiply
    158,447.50x = 330,000 × 330,000
  4. Step 4: Simplify right side
    158,447.50x = 108,900,000,000
  5. Step 5: Solve for x
    x = 108,900,000,000/158,447.50
  6. Step 6: Final answer
    x = 687,293.90

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.