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Finding the Third Proportional to 132,831 and 286,652

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Solution

The third proportional to 132,831 and 286,652 is: 618,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,831 : 286,652 = 286,652 : x
  2. Step 2: Convert to fraction form
    132,831/286,652 = 286,652/x
  3. Step 3: Cross multiply
    132,831x = 286,652 × 286,652
  4. Step 4: Simplify right side
    132,831x = 82,169,369,104
  5. Step 5: Solve for x
    x = 82,169,369,104/132,831
  6. Step 6: Final answer
    x = 618,600.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.