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Finding the Third Proportional to 132,032 and 283,018

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Solution

The third proportional to 132,032 and 283,018 is: 606,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,032 : 283,018 = 283,018 : x
  2. Step 2: Convert to fraction form
    132,032/283,018 = 283,018/x
  3. Step 3: Cross multiply
    132,032x = 283,018 × 283,018
  4. Step 4: Simplify right side
    132,032x = 80,099,188,324
  5. Step 5: Solve for x
    x = 80,099,188,324/132,032
  6. Step 6: Final answer
    x = 606,664.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.