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Finding the Third Proportional to 132,009.50 and 283,921.25

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Solution

The third proportional to 132,009.50 and 283,921.25 is: 610,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,009.50 : 283,921.25 = 283,921.25 : x
  2. Step 2: Convert to fraction form
    132,009.50/283,921.25 = 283,921.25/x
  3. Step 3: Cross multiply
    132,009.50x = 283,921.25 × 283,921.25
  4. Step 4: Simplify right side
    132,009.50x = 80,611,276,201.56
  5. Step 5: Solve for x
    x = 80,611,276,201.56/132,009.50
  6. Step 6: Final answer
    x = 610,647.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.