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Finding the Third Proportional to 132,023.75 and 283,950.25

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Solution

The third proportional to 132,023.75 and 283,950.25 is: 610,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,023.75 : 283,950.25 = 283,950.25 : x
  2. Step 2: Convert to fraction form
    132,023.75/283,950.25 = 283,950.25/x
  3. Step 3: Cross multiply
    132,023.75x = 283,950.25 × 283,950.25
  4. Step 4: Simplify right side
    132,023.75x = 80,627,744,475.06
  5. Step 5: Solve for x
    x = 80,627,744,475.06/132,023.75
  6. Step 6: Final answer
    x = 610,706.37

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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.