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Finding the Third Proportional to 132,408.42 and 286,819.73

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Solution

The third proportional to 132,408.42 and 286,819.73 is: 621,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,408.42 : 286,819.73 = 286,819.73 : x
  2. Step 2: Convert to fraction form
    132,408.42/286,819.73 = 286,819.73/x
  3. Step 3: Cross multiply
    132,408.42x = 286,819.73 × 286,819.73
  4. Step 4: Simplify right side
    132,408.42x = 82,265,560,026.95
  5. Step 5: Solve for x
    x = 82,265,560,026.95/132,408.42
  6. Step 6: Final answer
    x = 621,301.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.