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Finding the Third Proportional to 132,015.25 and 283,933.25

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Solution

The third proportional to 132,015.25 and 283,933.25 is: 610,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,015.25 : 283,933.25 = 283,933.25 : x
  2. Step 2: Convert to fraction form
    132,015.25/283,933.25 = 283,933.25/x
  3. Step 3: Cross multiply
    132,015.25x = 283,933.25 × 283,933.25
  4. Step 4: Simplify right side
    132,015.25x = 80,618,090,455.56
  5. Step 5: Solve for x
    x = 80,618,090,455.56/132,015.25
  6. Step 6: Final answer
    x = 610,672.56

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Why These Related Problems?

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